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Finding the Fourth Proportional to 5,166.81, 7,117.55 and 3,746.33

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Solution

The fourth proportional to 5,166.81, 7,117.55 and 3,746.33 is: 5,160.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.81 : 7,117.55 = 3,746.33 : x
  2. Step 2: Convert to fraction form
    5,166.81/7,117.55 = 3,746.33/x
  3. Step 3: Cross multiply
    5,166.81x = 7,117.55 × 3,746.33
  4. Step 4: Simplify right side
    5,166.81x = 26,664,664.17
  5. Step 5: Solve for x
    x = 26,664,664.17/5,166.81
  6. Step 6: Final answer
    x = 5,160.76

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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.