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Finding the Fourth Proportional to 3,703.98, 5,111.55 and 2,047.98

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Solution

The fourth proportional to 3,703.98, 5,111.55 and 2,047.98 is: 2,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.98 : 5,111.55 = 2,047.98 : x
  2. Step 2: Convert to fraction form
    3,703.98/5,111.55 = 2,047.98/x
  3. Step 3: Cross multiply
    3,703.98x = 5,111.55 × 2,047.98
  4. Step 4: Simplify right side
    3,703.98x = 10,468,352.17
  5. Step 5: Solve for x
    x = 10,468,352.17/3,703.98
  6. Step 6: Final answer
    x = 2,826.24

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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.