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Finding the Fourth Proportional to 3,805.87, 5,702.55 and 2,341.93

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Solution

The fourth proportional to 3,805.87, 5,702.55 and 2,341.93 is: 3,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.87 : 5,702.55 = 2,341.93 : x
  2. Step 2: Convert to fraction form
    3,805.87/5,702.55 = 2,341.93/x
  3. Step 3: Cross multiply
    3,805.87x = 5,702.55 × 2,341.93
  4. Step 4: Simplify right side
    3,805.87x = 13,354,972.92
  5. Step 5: Solve for x
    x = 13,354,972.92/3,805.87
  6. Step 6: Final answer
    x = 3,509.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.