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Finding the Fourth Proportional to 5,889.53, 8,820.32 and 4,947.90

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Solution

The fourth proportional to 5,889.53, 8,820.32 and 4,947.90 is: 7,410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.53 : 8,820.32 = 4,947.90 : x
  2. Step 2: Convert to fraction form
    5,889.53/8,820.32 = 4,947.90/x
  3. Step 3: Cross multiply
    5,889.53x = 8,820.32 × 4,947.90
  4. Step 4: Simplify right side
    5,889.53x = 43,642,036.59
  5. Step 5: Solve for x
    x = 43,642,036.59/5,889.53
  6. Step 6: Final answer
    x = 7,410.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.