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Finding the Fourth Proportional to 5,159.41, 7,717.43 and 4,785.49

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Solution

The fourth proportional to 5,159.41, 7,717.43 and 4,785.49 is: 7,158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.41 : 7,717.43 = 4,785.49 : x
  2. Step 2: Convert to fraction form
    5,159.41/7,717.43 = 4,785.49/x
  3. Step 3: Cross multiply
    5,159.41x = 7,717.43 × 4,785.49
  4. Step 4: Simplify right side
    5,159.41x = 36,931,660.16
  5. Step 5: Solve for x
    x = 36,931,660.16/5,159.41
  6. Step 6: Final answer
    x = 7,158.12

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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.