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Finding the Fourth Proportional to 5,702.29, 7,871.57 and 3,464.89

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Solution

The fourth proportional to 5,702.29, 7,871.57 and 3,464.89 is: 4,783.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.29 : 7,871.57 = 3,464.89 : x
  2. Step 2: Convert to fraction form
    5,702.29/7,871.57 = 3,464.89/x
  3. Step 3: Cross multiply
    5,702.29x = 7,871.57 × 3,464.89
  4. Step 4: Simplify right side
    5,702.29x = 27,274,124.18
  5. Step 5: Solve for x
    x = 27,274,124.18/5,702.29
  6. Step 6: Final answer
    x = 4,783.01

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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.