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Finding the Fourth Proportional to 3,702.16, 5,106.63 and 2,375.38

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Solution

The fourth proportional to 3,702.16, 5,106.63 and 2,375.38 is: 3,276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.16 : 5,106.63 = 2,375.38 : x
  2. Step 2: Convert to fraction form
    3,702.16/5,106.63 = 2,375.38/x
  3. Step 3: Cross multiply
    3,702.16x = 5,106.63 × 2,375.38
  4. Step 4: Simplify right side
    3,702.16x = 12,130,186.77
  5. Step 5: Solve for x
    x = 12,130,186.77/3,702.16
  6. Step 6: Final answer
    x = 3,276.52

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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.