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Finding the Fourth Proportional to 3,736.88, 5,590.74 and 2,498.40

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Solution

The fourth proportional to 3,736.88, 5,590.74 and 2,498.40 is: 3,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.88 : 5,590.74 = 2,498.40 : x
  2. Step 2: Convert to fraction form
    3,736.88/5,590.74 = 2,498.40/x
  3. Step 3: Cross multiply
    3,736.88x = 5,590.74 × 2,498.40
  4. Step 4: Simplify right side
    3,736.88x = 13,967,904.82
  5. Step 5: Solve for x
    x = 13,967,904.82/3,736.88
  6. Step 6: Final answer
    x = 3,737.85

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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.