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Finding the Fourth Proportional to 3,909.04, 5,394.56 and 2,416.88

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Solution

The fourth proportional to 3,909.04, 5,394.56 and 2,416.88 is: 3,335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.04 : 5,394.56 = 2,416.88 : x
  2. Step 2: Convert to fraction form
    3,909.04/5,394.56 = 2,416.88/x
  3. Step 3: Cross multiply
    3,909.04x = 5,394.56 × 2,416.88
  4. Step 4: Simplify right side
    3,909.04x = 13,038,004.17
  5. Step 5: Solve for x
    x = 13,038,004.17/3,909.04
  6. Step 6: Final answer
    x = 3,335.35

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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.