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Finding the Fourth Proportional to 3,407.56, 4,702.38 and 2,010.28

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Solution

The fourth proportional to 3,407.56, 4,702.38 and 2,010.28 is: 2,774.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.56 : 4,702.38 = 2,010.28 : x
  2. Step 2: Convert to fraction form
    3,407.56/4,702.38 = 2,010.28/x
  3. Step 3: Cross multiply
    3,407.56x = 4,702.38 × 2,010.28
  4. Step 4: Simplify right side
    3,407.56x = 9,453,100.47
  5. Step 5: Solve for x
    x = 9,453,100.47/3,407.56
  6. Step 6: Final answer
    x = 2,774.16

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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.