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Finding the Fourth Proportional to 3,700.64, 5,111.32 and 2,704.32

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Solution

The fourth proportional to 3,700.64, 5,111.32 and 2,704.32 is: 3,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.64 : 5,111.32 = 2,704.32 : x
  2. Step 2: Convert to fraction form
    3,700.64/5,111.32 = 2,704.32/x
  3. Step 3: Cross multiply
    3,700.64x = 5,111.32 × 2,704.32
  4. Step 4: Simplify right side
    3,700.64x = 13,822,644.90
  5. Step 5: Solve for x
    x = 13,822,644.90/3,700.64
  6. Step 6: Final answer
    x = 3,735.20

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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.