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Finding the Fourth Proportional to 3,954.78, 5,890.32 and 3,746.58

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Solution

The fourth proportional to 3,954.78, 5,890.32 and 3,746.58 is: 5,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.78 : 5,890.32 = 3,746.58 : x
  2. Step 2: Convert to fraction form
    3,954.78/5,890.32 = 3,746.58/x
  3. Step 3: Cross multiply
    3,954.78x = 5,890.32 × 3,746.58
  4. Step 4: Simplify right side
    3,954.78x = 22,068,555.11
  5. Step 5: Solve for x
    x = 22,068,555.11/3,954.78
  6. Step 6: Final answer
    x = 5,580.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.