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Finding the Fourth Proportional to 4,132, 5,702.40 and 2,364.16

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Solution

The fourth proportional to 4,132, 5,702.40 and 2,364.16 is: 3,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132 : 5,702.40 = 2,364.16 : x
  2. Step 2: Convert to fraction form
    4,132/5,702.40 = 2,364.16/x
  3. Step 3: Cross multiply
    4,132x = 5,702.40 × 2,364.16
  4. Step 4: Simplify right side
    4,132x = 13,481,385.98
  5. Step 5: Solve for x
    x = 13,481,385.98/4,132
  6. Step 6: Final answer
    x = 3,262.68

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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.