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Finding the Fourth Proportional to 4,170.40, 5,755.08 and 2,402

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Solution

The fourth proportional to 4,170.40, 5,755.08 and 2,402 is: 3,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.40 : 5,755.08 = 2,402 : x
  2. Step 2: Convert to fraction form
    4,170.40/5,755.08 = 2,402/x
  3. Step 3: Cross multiply
    4,170.40x = 5,755.08 × 2,402
  4. Step 4: Simplify right side
    4,170.40x = 13,823,702.16
  5. Step 5: Solve for x
    x = 13,823,702.16/4,170.40
  6. Step 6: Final answer
    x = 3,314.72

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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.