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Finding the Fourth Proportional to 5,642.12, 8,463.18 and 3,332

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Solution

The fourth proportional to 5,642.12, 8,463.18 and 3,332 is: 4,998

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.12 : 8,463.18 = 3,332 : x
  2. Step 2: Convert to fraction form
    5,642.12/8,463.18 = 3,332/x
  3. Step 3: Cross multiply
    5,642.12x = 8,463.18 × 3,332
  4. Step 4: Simplify right side
    5,642.12x = 28,199,315.76
  5. Step 5: Solve for x
    x = 28,199,315.76/5,642.12
  6. Step 6: Final answer
    x = 4,998

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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.