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Finding the Fourth Proportional to 3,857.59, 5,752.51 and 3,822.50

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Solution

The fourth proportional to 3,857.59, 5,752.51 and 3,822.50 is: 5,700.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.59 : 5,752.51 = 3,822.50 : x
  2. Step 2: Convert to fraction form
    3,857.59/5,752.51 = 3,822.50/x
  3. Step 3: Cross multiply
    3,857.59x = 5,752.51 × 3,822.50
  4. Step 4: Simplify right side
    3,857.59x = 21,988,950.36
  5. Step 5: Solve for x
    x = 21,988,950.36/3,857.59
  6. Step 6: Final answer
    x = 5,700.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.