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Finding the Fourth Proportional to 4,746, 7,122.24 and 3,456.48

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Solution

The fourth proportional to 4,746, 7,122.24 and 3,456.48 is: 5,187.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746 : 7,122.24 = 3,456.48 : x
  2. Step 2: Convert to fraction form
    4,746/7,122.24 = 3,456.48/x
  3. Step 3: Cross multiply
    4,746x = 7,122.24 × 3,456.48
  4. Step 4: Simplify right side
    4,746x = 24,617,880.12
  5. Step 5: Solve for x
    x = 24,617,880.12/4,746
  6. Step 6: Final answer
    x = 5,187.08

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