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Finding the Fourth Proportional to 5,702.35, 7,868.85 and 3,184.36

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Solution

The fourth proportional to 5,702.35, 7,868.85 and 3,184.36 is: 4,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.35 : 7,868.85 = 3,184.36 : x
  2. Step 2: Convert to fraction form
    5,702.35/7,868.85 = 3,184.36/x
  3. Step 3: Cross multiply
    5,702.35x = 7,868.85 × 3,184.36
  4. Step 4: Simplify right side
    5,702.35x = 25,057,263.83
  5. Step 5: Solve for x
    x = 25,057,263.83/5,702.35
  6. Step 6: Final answer
    x = 4,394.20

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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.