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Finding the Fourth Proportional to 3,543.32, 5,315.75 and 1,078.34

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Solution

The fourth proportional to 3,543.32, 5,315.75 and 1,078.34 is: 1,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.32 : 5,315.75 = 1,078.34 : x
  2. Step 2: Convert to fraction form
    3,543.32/5,315.75 = 1,078.34/x
  3. Step 3: Cross multiply
    3,543.32x = 5,315.75 × 1,078.34
  4. Step 4: Simplify right side
    3,543.32x = 5,732,175.91
  5. Step 5: Solve for x
    x = 5,732,175.91/3,543.32
  6. Step 6: Final answer
    x = 1,617.74

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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.