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Finding the Fourth Proportional to 4,502.78, 6,180.78 and 3,994.32

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Solution

The fourth proportional to 4,502.78, 6,180.78 and 3,994.32 is: 5,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.78 : 6,180.78 = 3,994.32 : x
  2. Step 2: Convert to fraction form
    4,502.78/6,180.78 = 3,994.32/x
  3. Step 3: Cross multiply
    4,502.78x = 6,180.78 × 3,994.32
  4. Step 4: Simplify right side
    4,502.78x = 24,688,013.17
  5. Step 5: Solve for x
    x = 24,688,013.17/4,502.78
  6. Step 6: Final answer
    x = 5,482.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.