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Finding the Fourth Proportional to 4,917.92, 7,386.48 and 4,737.44

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Solution

The fourth proportional to 4,917.92, 7,386.48 and 4,737.44 is: 7,115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917.92 : 7,386.48 = 4,737.44 : x
  2. Step 2: Convert to fraction form
    4,917.92/7,386.48 = 4,737.44/x
  3. Step 3: Cross multiply
    4,917.92x = 7,386.48 × 4,737.44
  4. Step 4: Simplify right side
    4,917.92x = 34,993,005.81
  5. Step 5: Solve for x
    x = 34,993,005.81/4,917.92
  6. Step 6: Final answer
    x = 7,115.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.