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Finding the Fourth Proportional to 4,384.92, 6,056.33 and 4,029.54

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Solution

The fourth proportional to 4,384.92, 6,056.33 and 4,029.54 is: 5,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.92 : 6,056.33 = 4,029.54 : x
  2. Step 2: Convert to fraction form
    4,384.92/6,056.33 = 4,029.54/x
  3. Step 3: Cross multiply
    4,384.92x = 6,056.33 × 4,029.54
  4. Step 4: Simplify right side
    4,384.92x = 24,404,223.99
  5. Step 5: Solve for x
    x = 24,404,223.99/4,384.92
  6. Step 6: Final answer
    x = 5,565.49

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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.