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Finding the Fourth Proportional to 3,894, 5,837.52 and 1,555.68

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Solution

The fourth proportional to 3,894, 5,837.52 and 1,555.68 is: 2,332.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894 : 5,837.52 = 1,555.68 : x
  2. Step 2: Convert to fraction form
    3,894/5,837.52 = 1,555.68/x
  3. Step 3: Cross multiply
    3,894x = 5,837.52 × 1,555.68
  4. Step 4: Simplify right side
    3,894x = 9,081,313.11
  5. Step 5: Solve for x
    x = 9,081,313.11/3,894
  6. Step 6: Final answer
    x = 2,332.13

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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.