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Finding the Fourth Proportional to 5,574.14, 7,685.95 and 4,454.31

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Solution

The fourth proportional to 5,574.14, 7,685.95 and 4,454.31 is: 6,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.14 : 7,685.95 = 4,454.31 : x
  2. Step 2: Convert to fraction form
    5,574.14/7,685.95 = 4,454.31/x
  3. Step 3: Cross multiply
    5,574.14x = 7,685.95 × 4,454.31
  4. Step 4: Simplify right side
    5,574.14x = 34,235,603.94
  5. Step 5: Solve for x
    x = 34,235,603.94/5,574.14
  6. Step 6: Final answer
    x = 6,141.86

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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.