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Finding the Fourth Proportional to 5,947.80, 8,208.02 and 3,295.24

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Solution

The fourth proportional to 5,947.80, 8,208.02 and 3,295.24 is: 4,547.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.80 : 8,208.02 = 3,295.24 : x
  2. Step 2: Convert to fraction form
    5,947.80/8,208.02 = 3,295.24/x
  3. Step 3: Cross multiply
    5,947.80x = 8,208.02 × 3,295.24
  4. Step 4: Simplify right side
    5,947.80x = 27,047,395.82
  5. Step 5: Solve for x
    x = 27,047,395.82/5,947.80
  6. Step 6: Final answer
    x = 4,547.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.