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Finding the Fourth Proportional to 5,246.52, 7,867.29 and 3,055.86

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Solution

The fourth proportional to 5,246.52, 7,867.29 and 3,055.86 is: 4,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.52 : 7,867.29 = 3,055.86 : x
  2. Step 2: Convert to fraction form
    5,246.52/7,867.29 = 3,055.86/x
  3. Step 3: Cross multiply
    5,246.52x = 7,867.29 × 3,055.86
  4. Step 4: Simplify right side
    5,246.52x = 24,041,336.82
  5. Step 5: Solve for x
    x = 24,041,336.82/5,246.52
  6. Step 6: Final answer
    x = 4,582.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.