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Finding the Fourth Proportional to 4,182.59, 6,271.92 and 1,548.28

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Solution

The fourth proportional to 4,182.59, 6,271.92 and 1,548.28 is: 2,321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.59 : 6,271.92 = 1,548.28 : x
  2. Step 2: Convert to fraction form
    4,182.59/6,271.92 = 1,548.28/x
  3. Step 3: Cross multiply
    4,182.59x = 6,271.92 × 1,548.28
  4. Step 4: Simplify right side
    4,182.59x = 9,710,688.30
  5. Step 5: Solve for x
    x = 9,710,688.30/4,182.59
  6. Step 6: Final answer
    x = 2,321.69

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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.