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Finding the Fourth Proportional to 5,907.08, 8,854.86 and 2,831.24

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Solution

The fourth proportional to 5,907.08, 8,854.86 and 2,831.24 is: 4,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.08 : 8,854.86 = 2,831.24 : x
  2. Step 2: Convert to fraction form
    5,907.08/8,854.86 = 2,831.24/x
  3. Step 3: Cross multiply
    5,907.08x = 8,854.86 × 2,831.24
  4. Step 4: Simplify right side
    5,907.08x = 25,070,233.83
  5. Step 5: Solve for x
    x = 25,070,233.83/5,907.08
  6. Step 6: Final answer
    x = 4,244.10

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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.