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Finding the Fourth Proportional to 4,543.64, 6,271.42 and 2,681.88

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Solution

The fourth proportional to 4,543.64, 6,271.42 and 2,681.88 is: 3,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.64 : 6,271.42 = 2,681.88 : x
  2. Step 2: Convert to fraction form
    4,543.64/6,271.42 = 2,681.88/x
  3. Step 3: Cross multiply
    4,543.64x = 6,271.42 × 2,681.88
  4. Step 4: Simplify right side
    4,543.64x = 16,819,195.87
  5. Step 5: Solve for x
    x = 16,819,195.87/4,543.64
  6. Step 6: Final answer
    x = 3,701.70

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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.