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Finding the Fourth Proportional to 3,504.96, 5,248.08 and 3,089.76

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Solution

The fourth proportional to 3,504.96, 5,248.08 and 3,089.76 is: 4,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.96 : 5,248.08 = 3,089.76 : x
  2. Step 2: Convert to fraction form
    3,504.96/5,248.08 = 3,089.76/x
  3. Step 3: Cross multiply
    3,504.96x = 5,248.08 × 3,089.76
  4. Step 4: Simplify right side
    3,504.96x = 16,215,307.66
  5. Step 5: Solve for x
    x = 16,215,307.66/3,504.96
  6. Step 6: Final answer
    x = 4,626.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.