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Finding the Fourth Proportional to 5,160.53, 7,740.93 and 1,264.92

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Solution

The fourth proportional to 5,160.53, 7,740.93 and 1,264.92 is: 1,897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.53 : 7,740.93 = 1,264.92 : x
  2. Step 2: Convert to fraction form
    5,160.53/7,740.93 = 1,264.92/x
  3. Step 3: Cross multiply
    5,160.53x = 7,740.93 × 1,264.92
  4. Step 4: Simplify right side
    5,160.53x = 9,791,657.18
  5. Step 5: Solve for x
    x = 9,791,657.18/5,160.53
  6. Step 6: Final answer
    x = 1,897.41

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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.