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Finding the Fourth Proportional to 4,555.71, 6,831.63 and 1,434.96

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Solution

The fourth proportional to 4,555.71, 6,831.63 and 1,434.96 is: 2,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,555.71 : 6,831.63 = 1,434.96 : x
  2. Step 2: Convert to fraction form
    4,555.71/6,831.63 = 1,434.96/x
  3. Step 3: Cross multiply
    4,555.71x = 6,831.63 × 1,434.96
  4. Step 4: Simplify right side
    4,555.71x = 9,803,115.78
  5. Step 5: Solve for x
    x = 9,803,115.78/4,555.71
  6. Step 6: Final answer
    x = 2,151.83

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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.