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Finding the Fourth Proportional to 4,065.12, 5,607 and 2,494.08

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Solution

The fourth proportional to 4,065.12, 5,607 and 2,494.08 is: 3,440.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.12 : 5,607 = 2,494.08 : x
  2. Step 2: Convert to fraction form
    4,065.12/5,607 = 2,494.08/x
  3. Step 3: Cross multiply
    4,065.12x = 5,607 × 2,494.08
  4. Step 4: Simplify right side
    4,065.12x = 13,984,306.56
  5. Step 5: Solve for x
    x = 13,984,306.56/4,065.12
  6. Step 6: Final answer
    x = 3,440.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.