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Finding the Fourth Proportional to 3,547.46, 5,321.25 and 1,175.55

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Solution

The fourth proportional to 3,547.46, 5,321.25 and 1,175.55 is: 1,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.46 : 5,321.25 = 1,175.55 : x
  2. Step 2: Convert to fraction form
    3,547.46/5,321.25 = 1,175.55/x
  3. Step 3: Cross multiply
    3,547.46x = 5,321.25 × 1,175.55
  4. Step 4: Simplify right side
    3,547.46x = 6,255,375.48
  5. Step 5: Solve for x
    x = 6,255,375.48/3,547.46
  6. Step 6: Final answer
    x = 1,763.34

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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.