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Finding the Fourth Proportional to 4,697.92, 7,045.44 and 4,033.28

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Solution

The fourth proportional to 4,697.92, 7,045.44 and 4,033.28 is: 6,048.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.92 : 7,045.44 = 4,033.28 : x
  2. Step 2: Convert to fraction form
    4,697.92/7,045.44 = 4,033.28/x
  3. Step 3: Cross multiply
    4,697.92x = 7,045.44 × 4,033.28
  4. Step 4: Simplify right side
    4,697.92x = 28,416,232.24
  5. Step 5: Solve for x
    x = 28,416,232.24/4,697.92
  6. Step 6: Final answer
    x = 6,048.68

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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.