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Finding the Fourth Proportional to 6,432.80, 8,878.22 and 4,075.16

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Solution

The fourth proportional to 6,432.80, 8,878.22 and 4,075.16 is: 5,624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.80 : 8,878.22 = 4,075.16 : x
  2. Step 2: Convert to fraction form
    6,432.80/8,878.22 = 4,075.16/x
  3. Step 3: Cross multiply
    6,432.80x = 8,878.22 × 4,075.16
  4. Step 4: Simplify right side
    6,432.80x = 36,180,102.25
  5. Step 5: Solve for x
    x = 36,180,102.25/6,432.80
  6. Step 6: Final answer
    x = 5,624.32

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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.