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Finding the Fourth Proportional to 4,132.35, 5,702.67 and 2,364

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Solution

The fourth proportional to 4,132.35, 5,702.67 and 2,364 is: 3,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.35 : 5,702.67 = 2,364 : x
  2. Step 2: Convert to fraction form
    4,132.35/5,702.67 = 2,364/x
  3. Step 3: Cross multiply
    4,132.35x = 5,702.67 × 2,364
  4. Step 4: Simplify right side
    4,132.35x = 13,481,111.88
  5. Step 5: Solve for x
    x = 13,481,111.88/4,132.35
  6. Step 6: Final answer
    x = 3,262.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.