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Finding the Fourth Proportional to 5,168.71, 7,715.57 and 4,783.24

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Solution

The fourth proportional to 5,168.71, 7,715.57 and 4,783.24 is: 7,140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.71 : 7,715.57 = 4,783.24 : x
  2. Step 2: Convert to fraction form
    5,168.71/7,715.57 = 4,783.24/x
  3. Step 3: Cross multiply
    5,168.71x = 7,715.57 × 4,783.24
  4. Step 4: Simplify right side
    5,168.71x = 36,905,423.05
  5. Step 5: Solve for x
    x = 36,905,423.05/5,168.71
  6. Step 6: Final answer
    x = 7,140.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.