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Finding the Fourth Proportional to 5,947.32, 8,858.16 and 5,635.08

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Solution

The fourth proportional to 5,947.32, 8,858.16 and 5,635.08 is: 8,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.32 : 8,858.16 = 5,635.08 : x
  2. Step 2: Convert to fraction form
    5,947.32/8,858.16 = 5,635.08/x
  3. Step 3: Cross multiply
    5,947.32x = 8,858.16 × 5,635.08
  4. Step 4: Simplify right side
    5,947.32x = 49,916,440.25
  5. Step 5: Solve for x
    x = 49,916,440.25/5,947.32
  6. Step 6: Final answer
    x = 8,393.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.