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Finding the Fourth Proportional to 5,457.92, 7,534.08 and 3,594.24

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Solution

The fourth proportional to 5,457.92, 7,534.08 and 3,594.24 is: 4,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.92 : 7,534.08 = 3,594.24 : x
  2. Step 2: Convert to fraction form
    5,457.92/7,534.08 = 3,594.24/x
  3. Step 3: Cross multiply
    5,457.92x = 7,534.08 × 3,594.24
  4. Step 4: Simplify right side
    5,457.92x = 27,079,291.70
  5. Step 5: Solve for x
    x = 27,079,291.70/5,457.92
  6. Step 6: Final answer
    x = 4,961.47

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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.