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Finding the Fourth Proportional to 4,098.07, 5,655.33 and 2,235.07

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Solution

The fourth proportional to 4,098.07, 5,655.33 and 2,235.07 is: 3,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.07 : 5,655.33 = 2,235.07 : x
  2. Step 2: Convert to fraction form
    4,098.07/5,655.33 = 2,235.07/x
  3. Step 3: Cross multiply
    4,098.07x = 5,655.33 × 2,235.07
  4. Step 4: Simplify right side
    4,098.07x = 12,640,058.42
  5. Step 5: Solve for x
    x = 12,640,058.42/4,098.07
  6. Step 6: Final answer
    x = 3,084.39

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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.