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Finding the Fourth Proportional to 5,152.71, 7,728.95 and 1,257.10

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Solution

The fourth proportional to 5,152.71, 7,728.95 and 1,257.10 is: 1,885.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.71 : 7,728.95 = 1,257.10 : x
  2. Step 2: Convert to fraction form
    5,152.71/7,728.95 = 1,257.10/x
  3. Step 3: Cross multiply
    5,152.71x = 7,728.95 × 1,257.10
  4. Step 4: Simplify right side
    5,152.71x = 9,716,056.76
  5. Step 5: Solve for x
    x = 9,716,056.76/5,152.71
  6. Step 6: Final answer
    x = 1,885.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.