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Finding the Fourth Proportional to 5,258.55, 7,887.83 and 4,772.55

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Solution

The fourth proportional to 5,258.55, 7,887.83 and 4,772.55 is: 7,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.55 : 7,887.83 = 4,772.55 : x
  2. Step 2: Convert to fraction form
    5,258.55/7,887.83 = 4,772.55/x
  3. Step 3: Cross multiply
    5,258.55x = 7,887.83 × 4,772.55
  4. Step 4: Simplify right side
    5,258.55x = 37,645,039.20
  5. Step 5: Solve for x
    x = 37,645,039.20/5,258.55
  6. Step 6: Final answer
    x = 7,158.83

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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.