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Finding the Fourth Proportional to 5,831.67, 8,744.97 and 1,670.76

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Solution

The fourth proportional to 5,831.67, 8,744.97 and 1,670.76 is: 2,505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.67 : 8,744.97 = 1,670.76 : x
  2. Step 2: Convert to fraction form
    5,831.67/8,744.97 = 1,670.76/x
  3. Step 3: Cross multiply
    5,831.67x = 8,744.97 × 1,670.76
  4. Step 4: Simplify right side
    5,831.67x = 14,610,746.08
  5. Step 5: Solve for x
    x = 14,610,746.08/5,831.67
  6. Step 6: Final answer
    x = 2,505.41

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1.5x scale

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.