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Finding the Fourth Proportional to 5,783.68, 7,981.48 and 3,131.08

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Solution

The fourth proportional to 5,783.68, 7,981.48 and 3,131.08 is: 4,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.68 : 7,981.48 = 3,131.08 : x
  2. Step 2: Convert to fraction form
    5,783.68/7,981.48 = 3,131.08/x
  3. Step 3: Cross multiply
    5,783.68x = 7,981.48 × 3,131.08
  4. Step 4: Simplify right side
    5,783.68x = 24,990,652.40
  5. Step 5: Solve for x
    x = 24,990,652.40/5,783.68
  6. Step 6: Final answer
    x = 4,320.89

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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.