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Finding the Fourth Proportional to 4,752.90, 7,132.77 and 1,831.89

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Solution

The fourth proportional to 4,752.90, 7,132.77 and 1,831.89 is: 2,749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.90 : 7,132.77 = 1,831.89 : x
  2. Step 2: Convert to fraction form
    4,752.90/7,132.77 = 1,831.89/x
  3. Step 3: Cross multiply
    4,752.90x = 7,132.77 × 1,831.89
  4. Step 4: Simplify right side
    4,752.90x = 13,066,450.04
  5. Step 5: Solve for x
    x = 13,066,450.04/4,752.90
  6. Step 6: Final answer
    x = 2,749.15

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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.