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Finding the Fourth Proportional to 3,064.60, 4,600.14 and 2,909.08

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Solution

The fourth proportional to 3,064.60, 4,600.14 and 2,909.08 is: 4,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.60 : 4,600.14 = 2,909.08 : x
  2. Step 2: Convert to fraction form
    3,064.60/4,600.14 = 2,909.08/x
  3. Step 3: Cross multiply
    3,064.60x = 4,600.14 × 2,909.08
  4. Step 4: Simplify right side
    3,064.60x = 13,382,175.27
  5. Step 5: Solve for x
    x = 13,382,175.27/3,064.60
  6. Step 6: Final answer
    x = 4,366.70

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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.