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Finding the Fourth Proportional to 5,574.19, 7,691.86 and 3,215.87

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Solution

The fourth proportional to 5,574.19, 7,691.86 and 3,215.87 is: 4,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.19 : 7,691.86 = 3,215.87 : x
  2. Step 2: Convert to fraction form
    5,574.19/7,691.86 = 3,215.87/x
  3. Step 3: Cross multiply
    5,574.19x = 7,691.86 × 3,215.87
  4. Step 4: Simplify right side
    5,574.19x = 24,736,021.82
  5. Step 5: Solve for x
    x = 24,736,021.82/5,574.19
  6. Step 6: Final answer
    x = 4,437.60

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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.