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Finding the Fourth Proportional to 3,597.32, 5,398.86 and 1,866.44

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Solution

The fourth proportional to 3,597.32, 5,398.86 and 1,866.44 is: 2,801.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.32 : 5,398.86 = 1,866.44 : x
  2. Step 2: Convert to fraction form
    3,597.32/5,398.86 = 1,866.44/x
  3. Step 3: Cross multiply
    3,597.32x = 5,398.86 × 1,866.44
  4. Step 4: Simplify right side
    3,597.32x = 10,076,648.26
  5. Step 5: Solve for x
    x = 10,076,648.26/3,597.32
  6. Step 6: Final answer
    x = 2,801.15

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1.5x scale

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.