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Finding the Fourth Proportional to 5,772.81, 7,965.89 and 3,535.32

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Solution

The fourth proportional to 5,772.81, 7,965.89 and 3,535.32 is: 4,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.81 : 7,965.89 = 3,535.32 : x
  2. Step 2: Convert to fraction form
    5,772.81/7,965.89 = 3,535.32/x
  3. Step 3: Cross multiply
    5,772.81x = 7,965.89 × 3,535.32
  4. Step 4: Simplify right side
    5,772.81x = 28,161,970.23
  5. Step 5: Solve for x
    x = 28,161,970.23/5,772.81
  6. Step 6: Final answer
    x = 4,878.38

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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.