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Finding the Fourth Proportional to 5,702.37, 7,866.18 and 5,422.50

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Solution

The fourth proportional to 5,702.37, 7,866.18 and 5,422.50 is: 7,480.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.37 : 7,866.18 = 5,422.50 : x
  2. Step 2: Convert to fraction form
    5,702.37/7,866.18 = 5,422.50/x
  3. Step 3: Cross multiply
    5,702.37x = 7,866.18 × 5,422.50
  4. Step 4: Simplify right side
    5,702.37x = 42,654,361.05
  5. Step 5: Solve for x
    x = 42,654,361.05/5,702.37
  6. Step 6: Final answer
    x = 7,480.11

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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.