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Finding the Fourth Proportional to 3,421.84, 5,132.71 and 824.75

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Solution

The fourth proportional to 3,421.84, 5,132.71 and 824.75 is: 1,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.84 : 5,132.71 = 824.75 : x
  2. Step 2: Convert to fraction form
    3,421.84/5,132.71 = 824.75/x
  3. Step 3: Cross multiply
    3,421.84x = 5,132.71 × 824.75
  4. Step 4: Simplify right side
    3,421.84x = 4,233,200.51
  5. Step 5: Solve for x
    x = 4,233,200.51/3,421.84
  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.