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Finding the Fourth Proportional to 5,831.67, 8,048.96 and 3,842.40

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Solution

The fourth proportional to 5,831.67, 8,048.96 and 3,842.40 is: 5,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.67 : 8,048.96 = 3,842.40 : x
  2. Step 2: Convert to fraction form
    5,831.67/8,048.96 = 3,842.40/x
  3. Step 3: Cross multiply
    5,831.67x = 8,048.96 × 3,842.40
  4. Step 4: Simplify right side
    5,831.67x = 30,927,304.69
  5. Step 5: Solve for x
    x = 30,927,304.69/5,831.67
  6. Step 6: Final answer
    x = 5,303.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.