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Finding the Fourth Proportional to 3,175.32, 4,763.95 and 1,421.80

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Solution

The fourth proportional to 3,175.32, 4,763.95 and 1,421.80 is: 2,133.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.32 : 4,763.95 = 1,421.80 : x
  2. Step 2: Convert to fraction form
    3,175.32/4,763.95 = 1,421.80/x
  3. Step 3: Cross multiply
    3,175.32x = 4,763.95 × 1,421.80
  4. Step 4: Simplify right side
    3,175.32x = 6,773,353.18
  5. Step 5: Solve for x
    x = 6,773,353.18/3,175.32
  6. Step 6: Final answer
    x = 2,133.13

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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.