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Finding the Fourth Proportional to 4,357.34, 6,538.70 and 1,724.40

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Solution

The fourth proportional to 4,357.34, 6,538.70 and 1,724.40 is: 2,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.34 : 6,538.70 = 1,724.40 : x
  2. Step 2: Convert to fraction form
    4,357.34/6,538.70 = 1,724.40/x
  3. Step 3: Cross multiply
    4,357.34x = 6,538.70 × 1,724.40
  4. Step 4: Simplify right side
    4,357.34x = 11,275,342.94
  5. Step 5: Solve for x
    x = 11,275,342.94/4,357.34
  6. Step 6: Final answer
    x = 2,587.66

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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.