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Finding the Fourth Proportional to 4,653.12, 6,964.92 and 2,458.80

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Solution

The fourth proportional to 4,653.12, 6,964.92 and 2,458.80 is: 3,680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.12 : 6,964.92 = 2,458.80 : x
  2. Step 2: Convert to fraction form
    4,653.12/6,964.92 = 2,458.80/x
  3. Step 3: Cross multiply
    4,653.12x = 6,964.92 × 2,458.80
  4. Step 4: Simplify right side
    4,653.12x = 17,125,345.30
  5. Step 5: Solve for x
    x = 17,125,345.30/4,653.12
  6. Step 6: Final answer
    x = 3,680.40

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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.