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Finding the Fourth Proportional to 5,606.10, 7,734.84 and 3,615.90

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Solution

The fourth proportional to 5,606.10, 7,734.84 and 3,615.90 is: 4,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.10 : 7,734.84 = 3,615.90 : x
  2. Step 2: Convert to fraction form
    5,606.10/7,734.84 = 3,615.90/x
  3. Step 3: Cross multiply
    5,606.10x = 7,734.84 × 3,615.90
  4. Step 4: Simplify right side
    5,606.10x = 27,968,407.96
  5. Step 5: Solve for x
    x = 27,968,407.96/5,606.10
  6. Step 6: Final answer
    x = 4,988.92

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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.