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Finding the Fourth Proportional to 3,746.70, 5,169.54 and 2,420.13

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Solution

The fourth proportional to 3,746.70, 5,169.54 and 2,420.13 is: 3,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.70 : 5,169.54 = 2,420.13 : x
  2. Step 2: Convert to fraction form
    3,746.70/5,169.54 = 2,420.13/x
  3. Step 3: Cross multiply
    3,746.70x = 5,169.54 × 2,420.13
  4. Step 4: Simplify right side
    3,746.70x = 12,510,958.84
  5. Step 5: Solve for x
    x = 12,510,958.84/3,746.70
  6. Step 6: Final answer
    x = 3,339.19

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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.