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Finding the Fourth Proportional to 3,296.53, 4,547.23 and 2,177.47

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Solution

The fourth proportional to 3,296.53, 4,547.23 and 2,177.47 is: 3,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.53 : 4,547.23 = 2,177.47 : x
  2. Step 2: Convert to fraction form
    3,296.53/4,547.23 = 2,177.47/x
  3. Step 3: Cross multiply
    3,296.53x = 4,547.23 × 2,177.47
  4. Step 4: Simplify right side
    3,296.53x = 9,901,456.91
  5. Step 5: Solve for x
    x = 9,901,456.91/3,296.53
  6. Step 6: Final answer
    x = 3,003.60

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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.