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Finding the Fourth Proportional to 3,888.52, 5,831.50 and 1,290.76

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Solution

The fourth proportional to 3,888.52, 5,831.50 and 1,290.76 is: 1,935.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.52 : 5,831.50 = 1,290.76 : x
  2. Step 2: Convert to fraction form
    3,888.52/5,831.50 = 1,290.76/x
  3. Step 3: Cross multiply
    3,888.52x = 5,831.50 × 1,290.76
  4. Step 4: Simplify right side
    3,888.52x = 7,527,066.94
  5. Step 5: Solve for x
    x = 7,527,066.94/3,888.52
  6. Step 6: Final answer
    x = 1,935.72

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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.