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Finding the Fourth Proportional to 3,706.74, 5,111.51 and 3,177.50

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Solution

The fourth proportional to 3,706.74, 5,111.51 and 3,177.50 is: 4,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.74 : 5,111.51 = 3,177.50 : x
  2. Step 2: Convert to fraction form
    3,706.74/5,111.51 = 3,177.50/x
  3. Step 3: Cross multiply
    3,706.74x = 5,111.51 × 3,177.50
  4. Step 4: Simplify right side
    3,706.74x = 16,241,781.58
  5. Step 5: Solve for x
    x = 16,241,781.58/3,706.74
  6. Step 6: Final answer
    x = 4,381.69

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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.