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Finding the Fourth Proportional to 5,643.46, 7,788.01 and 3,404.92

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Solution

The fourth proportional to 5,643.46, 7,788.01 and 3,404.92 is: 4,698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.46 : 7,788.01 = 3,404.92 : x
  2. Step 2: Convert to fraction form
    5,643.46/7,788.01 = 3,404.92/x
  3. Step 3: Cross multiply
    5,643.46x = 7,788.01 × 3,404.92
  4. Step 4: Simplify right side
    5,643.46x = 26,517,551.01
  5. Step 5: Solve for x
    x = 26,517,551.01/5,643.46
  6. Step 6: Final answer
    x = 4,698.81

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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.