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Finding the Fourth Proportional to 5,301.60, 7,952.40 and 3,362.40

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Solution

The fourth proportional to 5,301.60, 7,952.40 and 3,362.40 is: 5,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.60 : 7,952.40 = 3,362.40 : x
  2. Step 2: Convert to fraction form
    5,301.60/7,952.40 = 3,362.40/x
  3. Step 3: Cross multiply
    5,301.60x = 7,952.40 × 3,362.40
  4. Step 4: Simplify right side
    5,301.60x = 26,739,149.76
  5. Step 5: Solve for x
    x = 26,739,149.76/5,301.60
  6. Step 6: Final answer
    x = 5,043.60

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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.