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Finding the Fourth Proportional to 3,986.46, 5,502.53 and 2,570.15

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Solution

The fourth proportional to 3,986.46, 5,502.53 and 2,570.15 is: 3,547.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.46 : 5,502.53 = 2,570.15 : x
  2. Step 2: Convert to fraction form
    3,986.46/5,502.53 = 2,570.15/x
  3. Step 3: Cross multiply
    3,986.46x = 5,502.53 × 2,570.15
  4. Step 4: Simplify right side
    3,986.46x = 14,142,306.39
  5. Step 5: Solve for x
    x = 14,142,306.39/3,986.46
  6. Step 6: Final answer
    x = 3,547.59

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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.