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Finding the Fourth Proportional to 5,461.60, 8,232.64 and 5,330.40

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Solution

The fourth proportional to 5,461.60, 8,232.64 and 5,330.40 is: 8,034.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.60 : 8,232.64 = 5,330.40 : x
  2. Step 2: Convert to fraction form
    5,461.60/8,232.64 = 5,330.40/x
  3. Step 3: Cross multiply
    5,461.60x = 8,232.64 × 5,330.40
  4. Step 4: Simplify right side
    5,461.60x = 43,883,264.26
  5. Step 5: Solve for x
    x = 43,883,264.26/5,461.60
  6. Step 6: Final answer
    x = 8,034.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.