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Finding the Fourth Proportional to 3,702.77, 5,109.47 and 2,024.07

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Solution

The fourth proportional to 3,702.77, 5,109.47 and 2,024.07 is: 2,793.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.77 : 5,109.47 = 2,024.07 : x
  2. Step 2: Convert to fraction form
    3,702.77/5,109.47 = 2,024.07/x
  3. Step 3: Cross multiply
    3,702.77x = 5,109.47 × 2,024.07
  4. Step 4: Simplify right side
    3,702.77x = 10,341,924.94
  5. Step 5: Solve for x
    x = 10,341,924.94/3,702.77
  6. Step 6: Final answer
    x = 2,793.02

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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.