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Finding the Fourth Proportional to 3,502.35, 4,840.16 and 2,871.86

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Solution

The fourth proportional to 3,502.35, 4,840.16 and 2,871.86 is: 3,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.35 : 4,840.16 = 2,871.86 : x
  2. Step 2: Convert to fraction form
    3,502.35/4,840.16 = 2,871.86/x
  3. Step 3: Cross multiply
    3,502.35x = 4,840.16 × 2,871.86
  4. Step 4: Simplify right side
    3,502.35x = 13,900,223.34
  5. Step 5: Solve for x
    x = 13,900,223.34/3,502.35
  6. Step 6: Final answer
    x = 3,968.83

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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.