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Finding the Fourth Proportional to 5,225.40, 7,831.35 and 3,146.40

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Solution

The fourth proportional to 5,225.40, 7,831.35 and 3,146.40 is: 4,715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.40 : 7,831.35 = 3,146.40 : x
  2. Step 2: Convert to fraction form
    5,225.40/7,831.35 = 3,146.40/x
  3. Step 3: Cross multiply
    5,225.40x = 7,831.35 × 3,146.40
  4. Step 4: Simplify right side
    5,225.40x = 24,640,559.64
  5. Step 5: Solve for x
    x = 24,640,559.64/5,225.40
  6. Step 6: Final answer
    x = 4,715.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.