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Finding the Fourth Proportional to 5,300.57, 7,953.59 and 2,182.88

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Solution

The fourth proportional to 5,300.57, 7,953.59 and 2,182.88 is: 3,275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.57 : 7,953.59 = 2,182.88 : x
  2. Step 2: Convert to fraction form
    5,300.57/7,953.59 = 2,182.88/x
  3. Step 3: Cross multiply
    5,300.57x = 7,953.59 × 2,182.88
  4. Step 4: Simplify right side
    5,300.57x = 17,361,757.88
  5. Step 5: Solve for x
    x = 17,361,757.88/5,300.57
  6. Step 6: Final answer
    x = 3,275.45

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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.