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Finding the Fourth Proportional to 5,154.47, 7,731.64 and 1,258.91

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Solution

The fourth proportional to 5,154.47, 7,731.64 and 1,258.91 is: 1,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.47 : 7,731.64 = 1,258.91 : x
  2. Step 2: Convert to fraction form
    5,154.47/7,731.64 = 1,258.91/x
  3. Step 3: Cross multiply
    5,154.47x = 7,731.64 × 1,258.91
  4. Step 4: Simplify right side
    5,154.47x = 9,733,432.62
  5. Step 5: Solve for x
    x = 9,733,432.62/5,154.47
  6. Step 6: Final answer
    x = 1,888.35

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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.