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Finding the Fourth Proportional to 5,768.59, 7,960.65 and 3,116.00

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Solution

The fourth proportional to 5,768.59, 7,960.65 and 3,116.00 is: 4,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.59 : 7,960.65 = 3,116.00 : x
  2. Step 2: Convert to fraction form
    5,768.59/7,960.65 = 3,116.00/x
  3. Step 3: Cross multiply
    5,768.59x = 7,960.65 × 3,116.00
  4. Step 4: Simplify right side
    5,768.59x = 24,805,337.81
  5. Step 5: Solve for x
    x = 24,805,337.81/5,768.59
  6. Step 6: Final answer
    x = 4,300.07

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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.