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Finding the Fourth Proportional to 5,287.71, 7,925.83 and 3,440.15

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Solution

The fourth proportional to 5,287.71, 7,925.83 and 3,440.15 is: 5,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.71 : 7,925.83 = 3,440.15 : x
  2. Step 2: Convert to fraction form
    5,287.71/7,925.83 = 3,440.15/x
  3. Step 3: Cross multiply
    5,287.71x = 7,925.83 × 3,440.15
  4. Step 4: Simplify right side
    5,287.71x = 27,266,044.07
  5. Step 5: Solve for x
    x = 27,266,044.07/5,287.71
  6. Step 6: Final answer
    x = 5,156.49

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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.