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Finding the Fourth Proportional to 5,649.45, 8,432.94 and 5,232.57

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Solution

The fourth proportional to 5,649.45, 8,432.94 and 5,232.57 is: 7,810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.45 : 8,432.94 = 5,232.57 : x
  2. Step 2: Convert to fraction form
    5,649.45/8,432.94 = 5,232.57/x
  3. Step 3: Cross multiply
    5,649.45x = 8,432.94 × 5,232.57
  4. Step 4: Simplify right side
    5,649.45x = 44,125,948.86
  5. Step 5: Solve for x
    x = 44,125,948.86/5,649.45
  6. Step 6: Final answer
    x = 7,810.66

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1.5x scale

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.