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Finding the Fourth Proportional to 4,114.08, 5,680.08 and 3,671.22

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Solution

The fourth proportional to 4,114.08, 5,680.08 and 3,671.22 is: 5,068.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.08 : 5,680.08 = 3,671.22 : x
  2. Step 2: Convert to fraction form
    4,114.08/5,680.08 = 3,671.22/x
  3. Step 3: Cross multiply
    4,114.08x = 5,680.08 × 3,671.22
  4. Step 4: Simplify right side
    4,114.08x = 20,852,823.30
  5. Step 5: Solve for x
    x = 20,852,823.30/4,114.08
  6. Step 6: Final answer
    x = 5,068.65

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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.