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Finding the Fourth Proportional to 5,557.71, 7,669.72 and 3,319.79

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Solution

The fourth proportional to 5,557.71, 7,669.72 and 3,319.79 is: 4,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,557.71 : 7,669.72 = 3,319.79 : x
  2. Step 2: Convert to fraction form
    5,557.71/7,669.72 = 3,319.79/x
  3. Step 3: Cross multiply
    5,557.71x = 7,669.72 × 3,319.79
  4. Step 4: Simplify right side
    5,557.71x = 25,461,825.56
  5. Step 5: Solve for x
    x = 25,461,825.56/5,557.71
  6. Step 6: Final answer
    x = 4,581.35

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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.