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Finding the Fourth Proportional to 5,989,871.60, 8,984,807.40 and 5,342,908.40

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Solution

The fourth proportional to 5,989,871.60, 8,984,807.40 and 5,342,908.40 is: 8,014,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989,871.60 : 8,984,807.40 = 5,342,908.40 : x
  2. Step 2: Convert to fraction form
    5,989,871.60/8,984,807.40 = 5,342,908.40/x
  3. Step 3: Cross multiply
    5,989,871.60x = 8,984,807.40 × 5,342,908.40
  4. Step 4: Simplify right side
    5,989,871.60x = 48,005,002,929,842.16
  5. Step 5: Solve for x
    x = 48,005,002,929,842.16/5,989,871.60
  6. Step 6: Final answer
    x = 8,014,362.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.