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Finding the Fourth Proportional to 4,857.50, 7,287.46 and 1,570.52

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Solution

The fourth proportional to 4,857.50, 7,287.46 and 1,570.52 is: 2,356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.50 : 7,287.46 = 1,570.52 : x
  2. Step 2: Convert to fraction form
    4,857.50/7,287.46 = 1,570.52/x
  3. Step 3: Cross multiply
    4,857.50x = 7,287.46 × 1,570.52
  4. Step 4: Simplify right side
    4,857.50x = 11,445,101.68
  5. Step 5: Solve for x
    x = 11,445,101.68/4,857.50
  6. Step 6: Final answer
    x = 2,356.17

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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.