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Finding the Fourth Proportional to 3,562.88, 4,916.78 and 2,071.66

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Solution

The fourth proportional to 3,562.88, 4,916.78 and 2,071.66 is: 2,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.88 : 4,916.78 = 2,071.66 : x
  2. Step 2: Convert to fraction form
    3,562.88/4,916.78 = 2,071.66/x
  3. Step 3: Cross multiply
    3,562.88x = 4,916.78 × 2,071.66
  4. Step 4: Simplify right side
    3,562.88x = 10,185,896.45
  5. Step 5: Solve for x
    x = 10,185,896.45/3,562.88
  6. Step 6: Final answer
    x = 2,858.89

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Why These Related Problems?

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