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Finding the Fourth Proportional to 5,615.58, 7,749.56 and 3,097.80

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Solution

The fourth proportional to 5,615.58, 7,749.56 and 3,097.80 is: 4,275.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.58 : 7,749.56 = 3,097.80 : x
  2. Step 2: Convert to fraction form
    5,615.58/7,749.56 = 3,097.80/x
  3. Step 3: Cross multiply
    5,615.58x = 7,749.56 × 3,097.80
  4. Step 4: Simplify right side
    5,615.58x = 24,006,586.97
  5. Step 5: Solve for x
    x = 24,006,586.97/5,615.58
  6. Step 6: Final answer
    x = 4,275.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.