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Finding the Fourth Proportional to 5,932.60, 8,898.90 and 5,164.60

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Solution

The fourth proportional to 5,932.60, 8,898.90 and 5,164.60 is: 7,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.60 : 8,898.90 = 5,164.60 : x
  2. Step 2: Convert to fraction form
    5,932.60/8,898.90 = 5,164.60/x
  3. Step 3: Cross multiply
    5,932.60x = 8,898.90 × 5,164.60
  4. Step 4: Simplify right side
    5,932.60x = 45,959,258.94
  5. Step 5: Solve for x
    x = 45,959,258.94/5,932.60
  6. Step 6: Final answer
    x = 7,746.90

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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.