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Finding the Fourth Proportional to 5,871.02, 8,807.52 and 1,974.50

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Solution

The fourth proportional to 5,871.02, 8,807.52 and 1,974.50 is: 2,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.02 : 8,807.52 = 1,974.50 : x
  2. Step 2: Convert to fraction form
    5,871.02/8,807.52 = 1,974.50/x
  3. Step 3: Cross multiply
    5,871.02x = 8,807.52 × 1,974.50
  4. Step 4: Simplify right side
    5,871.02x = 17,390,448.24
  5. Step 5: Solve for x
    x = 17,390,448.24/5,871.02
  6. Step 6: Final answer
    x = 2,962.08

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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.