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Finding the Fourth Proportional to 4,897.71, 6,758.82 and 2,659.57

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Solution

The fourth proportional to 4,897.71, 6,758.82 and 2,659.57 is: 3,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.71 : 6,758.82 = 2,659.57 : x
  2. Step 2: Convert to fraction form
    4,897.71/6,758.82 = 2,659.57/x
  3. Step 3: Cross multiply
    4,897.71x = 6,758.82 × 2,659.57
  4. Step 4: Simplify right side
    4,897.71x = 17,975,561.56
  5. Step 5: Solve for x
    x = 17,975,561.56/4,897.71
  6. Step 6: Final answer
    x = 3,670.20

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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.