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Finding the Fourth Proportional to 5,782.06, 8,663.01 and 2,853.10

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Solution

The fourth proportional to 5,782.06, 8,663.01 and 2,853.10 is: 4,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.06 : 8,663.01 = 2,853.10 : x
  2. Step 2: Convert to fraction form
    5,782.06/8,663.01 = 2,853.10/x
  3. Step 3: Cross multiply
    5,782.06x = 8,663.01 × 2,853.10
  4. Step 4: Simplify right side
    5,782.06x = 24,716,433.83
  5. Step 5: Solve for x
    x = 24,716,433.83/5,782.06
  6. Step 6: Final answer
    x = 4,274.68

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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.