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Finding the Fourth Proportional to 3,675.60, 5,514.33 and 1,702.65

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Solution

The fourth proportional to 3,675.60, 5,514.33 and 1,702.65 is: 2,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.60 : 5,514.33 = 1,702.65 : x
  2. Step 2: Convert to fraction form
    3,675.60/5,514.33 = 1,702.65/x
  3. Step 3: Cross multiply
    3,675.60x = 5,514.33 × 1,702.65
  4. Step 4: Simplify right side
    3,675.60x = 9,388,973.97
  5. Step 5: Solve for x
    x = 9,388,973.97/3,675.60
  6. Step 6: Final answer
    x = 2,554.41

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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.