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Finding the Fourth Proportional to 5,763.60, 8,643.12 and 2,065.92

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Solution

The fourth proportional to 5,763.60, 8,643.12 and 2,065.92 is: 3,098.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.60 : 8,643.12 = 2,065.92 : x
  2. Step 2: Convert to fraction form
    5,763.60/8,643.12 = 2,065.92/x
  3. Step 3: Cross multiply
    5,763.60x = 8,643.12 × 2,065.92
  4. Step 4: Simplify right side
    5,763.60x = 17,855,994.47
  5. Step 5: Solve for x
    x = 17,855,994.47/5,763.60
  6. Step 6: Final answer
    x = 3,098.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.