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Finding the Fourth Proportional to 5,615.81, 7,749.72 and 3,098.15

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Solution

The fourth proportional to 5,615.81, 7,749.72 and 3,098.15 is: 4,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.81 : 7,749.72 = 3,098.15 : x
  2. Step 2: Convert to fraction form
    5,615.81/7,749.72 = 3,098.15/x
  3. Step 3: Cross multiply
    5,615.81x = 7,749.72 × 3,098.15
  4. Step 4: Simplify right side
    5,615.81x = 24,009,795.02
  5. Step 5: Solve for x
    x = 24,009,795.02/5,615.81
  6. Step 6: Final answer
    x = 4,275.39

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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.