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Finding the Fourth Proportional to 3,652.32, 5,473.08 and 1,922.16

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Solution

The fourth proportional to 3,652.32, 5,473.08 and 1,922.16 is: 2,880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.32 : 5,473.08 = 1,922.16 : x
  2. Step 2: Convert to fraction form
    3,652.32/5,473.08 = 1,922.16/x
  3. Step 3: Cross multiply
    3,652.32x = 5,473.08 × 1,922.16
  4. Step 4: Simplify right side
    3,652.32x = 10,520,135.45
  5. Step 5: Solve for x
    x = 10,520,135.45/3,652.32
  6. Step 6: Final answer
    x = 2,880.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.