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Finding the Fourth Proportional to 3,707.46, 5,117.04 and 2,821.68

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Solution

The fourth proportional to 3,707.46, 5,117.04 and 2,821.68 is: 3,894.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.46 : 5,117.04 = 2,821.68 : x
  2. Step 2: Convert to fraction form
    3,707.46/5,117.04 = 2,821.68/x
  3. Step 3: Cross multiply
    3,707.46x = 5,117.04 × 2,821.68
  4. Step 4: Simplify right side
    3,707.46x = 14,438,649.43
  5. Step 5: Solve for x
    x = 14,438,649.43/3,707.46
  6. Step 6: Final answer
    x = 3,894.49

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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.