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Finding the Fourth Proportional to 4,360.32, 6,542.10 and 2,409.84

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Solution

The fourth proportional to 4,360.32, 6,542.10 and 2,409.84 is: 3,615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,360.32 : 6,542.10 = 2,409.84 : x
  2. Step 2: Convert to fraction form
    4,360.32/6,542.10 = 2,409.84/x
  3. Step 3: Cross multiply
    4,360.32x = 6,542.10 × 2,409.84
  4. Step 4: Simplify right side
    4,360.32x = 15,765,414.26
  5. Step 5: Solve for x
    x = 15,765,414.26/4,360.32
  6. Step 6: Final answer
    x = 3,615.66

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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.