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Finding the Fourth Proportional to 3,702.10, 5,102.53 and 3,350.10

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Solution

The fourth proportional to 3,702.10, 5,102.53 and 3,350.10 is: 4,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.10 : 5,102.53 = 3,350.10 : x
  2. Step 2: Convert to fraction form
    3,702.10/5,102.53 = 3,350.10/x
  3. Step 3: Cross multiply
    3,702.10x = 5,102.53 × 3,350.10
  4. Step 4: Simplify right side
    3,702.10x = 17,093,985.75
  5. Step 5: Solve for x
    x = 17,093,985.75/3,702.10
  6. Step 6: Final answer
    x = 4,617.38

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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.