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Finding the Fourth Proportional to 5,929.74, 8,190.72 and 5,414.58

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Solution

The fourth proportional to 5,929.74, 8,190.72 and 5,414.58 is: 7,479.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.74 : 8,190.72 = 5,414.58 : x
  2. Step 2: Convert to fraction form
    5,929.74/8,190.72 = 5,414.58/x
  3. Step 3: Cross multiply
    5,929.74x = 8,190.72 × 5,414.58
  4. Step 4: Simplify right side
    5,929.74x = 44,349,308.70
  5. Step 5: Solve for x
    x = 44,349,308.70/5,929.74
  6. Step 6: Final answer
    x = 7,479.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.