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Finding the Fourth Proportional to 5,465.60, 7,542.24 and 3,368.96

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Solution

The fourth proportional to 5,465.60, 7,542.24 and 3,368.96 is: 4,648.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.60 : 7,542.24 = 3,368.96 : x
  2. Step 2: Convert to fraction form
    5,465.60/7,542.24 = 3,368.96/x
  3. Step 3: Cross multiply
    5,465.60x = 7,542.24 × 3,368.96
  4. Step 4: Simplify right side
    5,465.60x = 25,409,504.87
  5. Step 5: Solve for x
    x = 25,409,504.87/5,465.60
  6. Step 6: Final answer
    x = 4,648.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.