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Finding the Fourth Proportional to 5,156.52, 7,116.42 and 4,315.74

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Solution

The fourth proportional to 5,156.52, 7,116.42 and 4,315.74 is: 5,956.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.52 : 7,116.42 = 4,315.74 : x
  2. Step 2: Convert to fraction form
    5,156.52/7,116.42 = 4,315.74/x
  3. Step 3: Cross multiply
    5,156.52x = 7,116.42 × 4,315.74
  4. Step 4: Simplify right side
    5,156.52x = 30,712,618.45
  5. Step 5: Solve for x
    x = 30,712,618.45/5,156.52
  6. Step 6: Final answer
    x = 5,956.07

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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.