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Finding the Fourth Proportional to 5,853.11, 8,077.67 and 3,335.30

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Solution

The fourth proportional to 5,853.11, 8,077.67 and 3,335.30 is: 4,602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.11 : 8,077.67 = 3,335.30 : x
  2. Step 2: Convert to fraction form
    5,853.11/8,077.67 = 3,335.30/x
  3. Step 3: Cross multiply
    5,853.11x = 8,077.67 × 3,335.30
  4. Step 4: Simplify right side
    5,853.11x = 26,941,395.69
  5. Step 5: Solve for x
    x = 26,941,395.69/5,853.11
  6. Step 6: Final answer
    x = 4,602.92

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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.