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Finding the Fourth Proportional to 5,006.84, 7,506.24 and 3,442.08

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Solution

The fourth proportional to 5,006.84, 7,506.24 and 3,442.08 is: 5,160.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.84 : 7,506.24 = 3,442.08 : x
  2. Step 2: Convert to fraction form
    5,006.84/7,506.24 = 3,442.08/x
  3. Step 3: Cross multiply
    5,006.84x = 7,506.24 × 3,442.08
  4. Step 4: Simplify right side
    5,006.84x = 25,837,078.58
  5. Step 5: Solve for x
    x = 25,837,078.58/5,006.84
  6. Step 6: Final answer
    x = 5,160.36

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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.