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Finding the Fourth Proportional to 3,746.34, 5,169.27 and 2,330.40

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Solution

The fourth proportional to 3,746.34, 5,169.27 and 2,330.40 is: 3,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.34 : 5,169.27 = 2,330.40 : x
  2. Step 2: Convert to fraction form
    3,746.34/5,169.27 = 2,330.40/x
  3. Step 3: Cross multiply
    3,746.34x = 5,169.27 × 2,330.40
  4. Step 4: Simplify right side
    3,746.34x = 12,046,466.81
  5. Step 5: Solve for x
    x = 12,046,466.81/3,746.34
  6. Step 6: Final answer
    x = 3,215.53

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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.