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Finding the Fourth Proportional to 3,746.57, 5,170.88 and 3,580.49

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Solution

The fourth proportional to 3,746.57, 5,170.88 and 3,580.49 is: 4,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.57 : 5,170.88 = 3,580.49 : x
  2. Step 2: Convert to fraction form
    3,746.57/5,170.88 = 3,580.49/x
  3. Step 3: Cross multiply
    3,746.57x = 5,170.88 × 3,580.49
  4. Step 4: Simplify right side
    3,746.57x = 18,514,267.23
  5. Step 5: Solve for x
    x = 18,514,267.23/3,746.57
  6. Step 6: Final answer
    x = 4,941.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.