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Finding the Fourth Proportional to 3,005.72, 4,148.20 and 1,826.88

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Solution

The fourth proportional to 3,005.72, 4,148.20 and 1,826.88 is: 2,521.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.72 : 4,148.20 = 1,826.88 : x
  2. Step 2: Convert to fraction form
    3,005.72/4,148.20 = 1,826.88/x
  3. Step 3: Cross multiply
    3,005.72x = 4,148.20 × 1,826.88
  4. Step 4: Simplify right side
    3,005.72x = 7,578,263.62
  5. Step 5: Solve for x
    x = 7,578,263.62/3,005.72
  6. Step 6: Final answer
    x = 2,521.28

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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.