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Finding the Fourth Proportional to 3,421.80, 5,132.70 and 824.74

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Solution

The fourth proportional to 3,421.80, 5,132.70 and 824.74 is: 1,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.80 : 5,132.70 = 824.74 : x
  2. Step 2: Convert to fraction form
    3,421.80/5,132.70 = 824.74/x
  3. Step 3: Cross multiply
    3,421.80x = 5,132.70 × 824.74
  4. Step 4: Simplify right side
    3,421.80x = 4,233,130.17
  5. Step 5: Solve for x
    x = 4,233,130.17/3,421.80
  6. Step 6: Final answer
    x = 1,237.11

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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.