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Finding the Fourth Proportional to 4,005.48, 6,008.22 and 2,056.32

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Solution

The fourth proportional to 4,005.48, 6,008.22 and 2,056.32 is: 3,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.48 : 6,008.22 = 2,056.32 : x
  2. Step 2: Convert to fraction form
    4,005.48/6,008.22 = 2,056.32/x
  3. Step 3: Cross multiply
    4,005.48x = 6,008.22 × 2,056.32
  4. Step 4: Simplify right side
    4,005.48x = 12,354,822.95
  5. Step 5: Solve for x
    x = 12,354,822.95/4,005.48
  6. Step 6: Final answer
    x = 3,084.48

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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.