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Finding the Fourth Proportional to 5,674.60, 7,831.10 and 3,436

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Solution

The fourth proportional to 5,674.60, 7,831.10 and 3,436 is: 4,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.60 : 7,831.10 = 3,436 : x
  2. Step 2: Convert to fraction form
    5,674.60/7,831.10 = 3,436/x
  3. Step 3: Cross multiply
    5,674.60x = 7,831.10 × 3,436
  4. Step 4: Simplify right side
    5,674.60x = 26,907,659.60
  5. Step 5: Solve for x
    x = 26,907,659.60/5,674.60
  6. Step 6: Final answer
    x = 4,741.77

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