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Finding the Fourth Proportional to 4,274.69, 5,899.17 and 2,360.50

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Solution

The fourth proportional to 4,274.69, 5,899.17 and 2,360.50 is: 3,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.69 : 5,899.17 = 2,360.50 : x
  2. Step 2: Convert to fraction form
    4,274.69/5,899.17 = 2,360.50/x
  3. Step 3: Cross multiply
    4,274.69x = 5,899.17 × 2,360.50
  4. Step 4: Simplify right side
    4,274.69x = 13,925,001.06
  5. Step 5: Solve for x
    x = 13,925,001.06/4,274.69
  6. Step 6: Final answer
    x = 3,257.55

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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.