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Finding the Fourth Proportional to 5,357.60, 8,043.24 and 5,302.40

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Solution

The fourth proportional to 5,357.60, 8,043.24 and 5,302.40 is: 7,960.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.60 : 8,043.24 = 5,302.40 : x
  2. Step 2: Convert to fraction form
    5,357.60/8,043.24 = 5,302.40/x
  3. Step 3: Cross multiply
    5,357.60x = 8,043.24 × 5,302.40
  4. Step 4: Simplify right side
    5,357.60x = 42,648,475.78
  5. Step 5: Solve for x
    x = 42,648,475.78/5,357.60
  6. Step 6: Final answer
    x = 7,960.37

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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.