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Finding the Fourth Proportional to 4,141.66, 5,715.52 and 2,253.28

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Solution

The fourth proportional to 4,141.66, 5,715.52 and 2,253.28 is: 3,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.66 : 5,715.52 = 2,253.28 : x
  2. Step 2: Convert to fraction form
    4,141.66/5,715.52 = 2,253.28/x
  3. Step 3: Cross multiply
    4,141.66x = 5,715.52 × 2,253.28
  4. Step 4: Simplify right side
    4,141.66x = 12,878,666.91
  5. Step 5: Solve for x
    x = 12,878,666.91/4,141.66
  6. Step 6: Final answer
    x = 3,109.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.