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Finding the Fourth Proportional to 5,160.64, 7,740.55 and 1,874.47

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Solution

The fourth proportional to 5,160.64, 7,740.55 and 1,874.47 is: 2,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.64 : 7,740.55 = 1,874.47 : x
  2. Step 2: Convert to fraction form
    5,160.64/7,740.55 = 1,874.47/x
  3. Step 3: Cross multiply
    5,160.64x = 7,740.55 × 1,874.47
  4. Step 4: Simplify right side
    5,160.64x = 14,509,428.76
  5. Step 5: Solve for x
    x = 14,509,428.76/5,160.64
  6. Step 6: Final answer
    x = 2,811.56

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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.