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Finding the Fourth Proportional to 5,943.32, 8,201.76 and 3,585

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Solution

The fourth proportional to 5,943.32, 8,201.76 and 3,585 is: 4,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.32 : 8,201.76 = 3,585 : x
  2. Step 2: Convert to fraction form
    5,943.32/8,201.76 = 3,585/x
  3. Step 3: Cross multiply
    5,943.32x = 8,201.76 × 3,585
  4. Step 4: Simplify right side
    5,943.32x = 29,403,309.60
  5. Step 5: Solve for x
    x = 29,403,309.60/5,943.32
  6. Step 6: Final answer
    x = 4,947.29

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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.