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Finding the Fourth Proportional to 4,857.24, 7,285.98 and 1,570.68

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Solution

The fourth proportional to 4,857.24, 7,285.98 and 1,570.68 is: 2,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.24 : 7,285.98 = 1,570.68 : x
  2. Step 2: Convert to fraction form
    4,857.24/7,285.98 = 1,570.68/x
  3. Step 3: Cross multiply
    4,857.24x = 7,285.98 × 1,570.68
  4. Step 4: Simplify right side
    4,857.24x = 11,443,943.07
  5. Step 5: Solve for x
    x = 11,443,943.07/4,857.24
  6. Step 6: Final answer
    x = 2,356.06

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