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Finding the Fourth Proportional to 3,663.49, 5,054.25 and 2,319.18

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Solution

The fourth proportional to 3,663.49, 5,054.25 and 2,319.18 is: 3,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.49 : 5,054.25 = 2,319.18 : x
  2. Step 2: Convert to fraction form
    3,663.49/5,054.25 = 2,319.18/x
  3. Step 3: Cross multiply
    3,663.49x = 5,054.25 × 2,319.18
  4. Step 4: Simplify right side
    3,663.49x = 11,721,715.52
  5. Step 5: Solve for x
    x = 11,721,715.52/3,663.49
  6. Step 6: Final answer
    x = 3,199.60

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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.