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Finding the Fourth Proportional to 3,715.68, 5,124.68 and 3,158.00

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Solution

The fourth proportional to 3,715.68, 5,124.68 and 3,158.00 is: 4,355.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.68 : 5,124.68 = 3,158.00 : x
  2. Step 2: Convert to fraction form
    3,715.68/5,124.68 = 3,158.00/x
  3. Step 3: Cross multiply
    3,715.68x = 5,124.68 × 3,158.00
  4. Step 4: Simplify right side
    3,715.68x = 16,183,713.82
  5. Step 5: Solve for x
    x = 16,183,713.82/3,715.68
  6. Step 6: Final answer
    x = 4,355.52

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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.