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Finding the Fourth Proportional to 5,807.42, 8,707.46 and 2,518

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Solution

The fourth proportional to 5,807.42, 8,707.46 and 2,518 is: 3,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.42 : 8,707.46 = 2,518 : x
  2. Step 2: Convert to fraction form
    5,807.42/8,707.46 = 2,518/x
  3. Step 3: Cross multiply
    5,807.42x = 8,707.46 × 2,518
  4. Step 4: Simplify right side
    5,807.42x = 21,925,384.28
  5. Step 5: Solve for x
    x = 21,925,384.28/5,807.42
  6. Step 6: Final answer
    x = 3,775.41

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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.