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Finding the Fourth Proportional to 3,657.34, 5,036.50 and 3,178.57

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Solution

The fourth proportional to 3,657.34, 5,036.50 and 3,178.57 is: 4,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.34 : 5,036.50 = 3,178.57 : x
  2. Step 2: Convert to fraction form
    3,657.34/5,036.50 = 3,178.57/x
  3. Step 3: Cross multiply
    3,657.34x = 5,036.50 × 3,178.57
  4. Step 4: Simplify right side
    3,657.34x = 16,008,867.81
  5. Step 5: Solve for x
    x = 16,008,867.81/3,657.34
  6. Step 6: Final answer
    x = 4,377.19

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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.