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Finding the Fourth Proportional to 5,643.62, 7,788.48 and 3,126

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Solution

The fourth proportional to 5,643.62, 7,788.48 and 3,126 is: 4,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.62 : 7,788.48 = 3,126 : x
  2. Step 2: Convert to fraction form
    5,643.62/7,788.48 = 3,126/x
  3. Step 3: Cross multiply
    5,643.62x = 7,788.48 × 3,126
  4. Step 4: Simplify right side
    5,643.62x = 24,346,788.48
  5. Step 5: Solve for x
    x = 24,346,788.48/5,643.62
  6. Step 6: Final answer
    x = 4,314.04

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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.