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Finding the Fourth Proportional to 4,274.74, 5,899.53 and 2,681.63

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Solution

The fourth proportional to 4,274.74, 5,899.53 and 2,681.63 is: 3,700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.74 : 5,899.53 = 2,681.63 : x
  2. Step 2: Convert to fraction form
    4,274.74/5,899.53 = 2,681.63/x
  3. Step 3: Cross multiply
    4,274.74x = 5,899.53 × 2,681.63
  4. Step 4: Simplify right side
    4,274.74x = 15,820,356.63
  5. Step 5: Solve for x
    x = 15,820,356.63/4,274.74
  6. Step 6: Final answer
    x = 3,700.89

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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.