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Finding the Fourth Proportional to 5,342.34, 8,005.24 and 3,702.09

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Solution

The fourth proportional to 5,342.34, 8,005.24 and 3,702.09 is: 5,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.34 : 8,005.24 = 3,702.09 : x
  2. Step 2: Convert to fraction form
    5,342.34/8,005.24 = 3,702.09/x
  3. Step 3: Cross multiply
    5,342.34x = 8,005.24 × 3,702.09
  4. Step 4: Simplify right side
    5,342.34x = 29,636,118.95
  5. Step 5: Solve for x
    x = 29,636,118.95/5,342.34
  6. Step 6: Final answer
    x = 5,547.40

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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.