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Finding the Fourth Proportional to 5,175.32, 7,763.04 and 2,871.68

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Solution

The fourth proportional to 5,175.32, 7,763.04 and 2,871.68 is: 4,307.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.32 : 7,763.04 = 2,871.68 : x
  2. Step 2: Convert to fraction form
    5,175.32/7,763.04 = 2,871.68/x
  3. Step 3: Cross multiply
    5,175.32x = 7,763.04 × 2,871.68
  4. Step 4: Simplify right side
    5,175.32x = 22,292,966.71
  5. Step 5: Solve for x
    x = 22,292,966.71/5,175.32
  6. Step 6: Final answer
    x = 4,307.55

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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.