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Finding the Fourth Proportional to 4,857.97, 7,287.15 and 1,570.65

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Solution

The fourth proportional to 4,857.97, 7,287.15 and 1,570.65 is: 2,356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.97 : 7,287.15 = 1,570.65 : x
  2. Step 2: Convert to fraction form
    4,857.97/7,287.15 = 1,570.65/x
  3. Step 3: Cross multiply
    4,857.97x = 7,287.15 × 1,570.65
  4. Step 4: Simplify right side
    4,857.97x = 11,445,562.15
  5. Step 5: Solve for x
    x = 11,445,562.15/4,857.97
  6. Step 6: Final answer
    x = 2,356.04

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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.