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Finding the Fourth Proportional to 3,454.84, 5,184.47 and 3,442.08

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Solution

The fourth proportional to 3,454.84, 5,184.47 and 3,442.08 is: 5,165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.84 : 5,184.47 = 3,442.08 : x
  2. Step 2: Convert to fraction form
    3,454.84/5,184.47 = 3,442.08/x
  3. Step 3: Cross multiply
    3,454.84x = 5,184.47 × 3,442.08
  4. Step 4: Simplify right side
    3,454.84x = 17,845,359.38
  5. Step 5: Solve for x
    x = 17,845,359.38/3,454.84
  6. Step 6: Final answer
    x = 5,165.33

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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.