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Finding the Fourth Proportional to 3,527.74, 5,291.88 and 2,237.68

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Solution

The fourth proportional to 3,527.74, 5,291.88 and 2,237.68 is: 3,356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.74 : 5,291.88 = 2,237.68 : x
  2. Step 2: Convert to fraction form
    3,527.74/5,291.88 = 2,237.68/x
  3. Step 3: Cross multiply
    3,527.74x = 5,291.88 × 2,237.68
  4. Step 4: Simplify right side
    3,527.74x = 11,841,534.04
  5. Step 5: Solve for x
    x = 11,841,534.04/3,527.74
  6. Step 6: Final answer
    x = 3,356.69

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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.