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Finding the Fourth Proportional to 5,831.65, 8,751.07 and 4,638.62

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Solution

The fourth proportional to 5,831.65, 8,751.07 and 4,638.62 is: 6,960.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.65 : 8,751.07 = 4,638.62 : x
  2. Step 2: Convert to fraction form
    5,831.65/8,751.07 = 4,638.62/x
  3. Step 3: Cross multiply
    5,831.65x = 8,751.07 × 4,638.62
  4. Step 4: Simplify right side
    5,831.65x = 40,592,866.77
  5. Step 5: Solve for x
    x = 40,592,866.77/5,831.65
  6. Step 6: Final answer
    x = 6,960.79

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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.