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Finding the Fourth Proportional to 5,718.64, 8,570.76 and 2,427.88

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Solution

The fourth proportional to 5,718.64, 8,570.76 and 2,427.88 is: 3,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.64 : 8,570.76 = 2,427.88 : x
  2. Step 2: Convert to fraction form
    5,718.64/8,570.76 = 2,427.88/x
  3. Step 3: Cross multiply
    5,718.64x = 8,570.76 × 2,427.88
  4. Step 4: Simplify right side
    5,718.64x = 20,808,776.79
  5. Step 5: Solve for x
    x = 20,808,776.79/5,718.64
  6. Step 6: Final answer
    x = 3,638.76

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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.