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Finding the Fourth Proportional to 3,432.84, 5,148.45 and 1,486.50

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Solution

The fourth proportional to 3,432.84, 5,148.45 and 1,486.50 is: 2,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.84 : 5,148.45 = 1,486.50 : x
  2. Step 2: Convert to fraction form
    3,432.84/5,148.45 = 1,486.50/x
  3. Step 3: Cross multiply
    3,432.84x = 5,148.45 × 1,486.50
  4. Step 4: Simplify right side
    3,432.84x = 7,653,170.93
  5. Step 5: Solve for x
    x = 7,653,170.93/3,432.84
  6. Step 6: Final answer
    x = 2,229.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.