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Finding the Fourth Proportional to 3,526.29, 4,866.14 and 2,034

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Solution

The fourth proportional to 3,526.29, 4,866.14 and 2,034 is: 2,806.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.29 : 4,866.14 = 2,034 : x
  2. Step 2: Convert to fraction form
    3,526.29/4,866.14 = 2,034/x
  3. Step 3: Cross multiply
    3,526.29x = 4,866.14 × 2,034
  4. Step 4: Simplify right side
    3,526.29x = 9,897,733.85
  5. Step 5: Solve for x
    x = 9,897,733.85/3,526.29
  6. Step 6: Final answer
    x = 2,806.84

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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.