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Finding the Fourth Proportional to 5,497.47, 7,586.56 and 2,979.59

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Solution

The fourth proportional to 5,497.47, 7,586.56 and 2,979.59 is: 4,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.47 : 7,586.56 = 2,979.59 : x
  2. Step 2: Convert to fraction form
    5,497.47/7,586.56 = 2,979.59/x
  3. Step 3: Cross multiply
    5,497.47x = 7,586.56 × 2,979.59
  4. Step 4: Simplify right side
    5,497.47x = 22,604,804.10
  5. Step 5: Solve for x
    x = 22,604,804.10/5,497.47
  6. Step 6: Final answer
    x = 4,111.86

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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.