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Finding the Fourth Proportional to 5,831.57, 8,744.72 and 1,670.63

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Solution

The fourth proportional to 5,831.57, 8,744.72 and 1,670.63 is: 2,505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.57 : 8,744.72 = 1,670.63 : x
  2. Step 2: Convert to fraction form
    5,831.57/8,744.72 = 1,670.63/x
  3. Step 3: Cross multiply
    5,831.57x = 8,744.72 × 1,670.63
  4. Step 4: Simplify right side
    5,831.57x = 14,609,152.03
  5. Step 5: Solve for x
    x = 14,609,152.03/5,831.57
  6. Step 6: Final answer
    x = 2,505.18

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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.