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Finding the Fourth Proportional to 4,680.42, 6,458.42 and 2,792.10

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Solution

The fourth proportional to 4,680.42, 6,458.42 and 2,792.10 is: 3,852.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.42 : 6,458.42 = 2,792.10 : x
  2. Step 2: Convert to fraction form
    4,680.42/6,458.42 = 2,792.10/x
  3. Step 3: Cross multiply
    4,680.42x = 6,458.42 × 2,792.10
  4. Step 4: Simplify right side
    4,680.42x = 18,032,554.48
  5. Step 5: Solve for x
    x = 18,032,554.48/4,680.42
  6. Step 6: Final answer
    x = 3,852.76

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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.