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Finding the Fourth Proportional to 2,909.47, 4,017.50 and 2,698.42

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Solution

The fourth proportional to 2,909.47, 4,017.50 and 2,698.42 is: 3,726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.47 : 4,017.50 = 2,698.42 : x
  2. Step 2: Convert to fraction form
    2,909.47/4,017.50 = 2,698.42/x
  3. Step 3: Cross multiply
    2,909.47x = 4,017.50 × 2,698.42
  4. Step 4: Simplify right side
    2,909.47x = 10,840,902.35
  5. Step 5: Solve for x
    x = 10,840,902.35/2,909.47
  6. Step 6: Final answer
    x = 3,726.07

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