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Finding the Fourth Proportional to 3,005.52, 4,146.36 and 1,826.76

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Solution

The fourth proportional to 3,005.52, 4,146.36 and 1,826.76 is: 2,520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.52 : 4,146.36 = 1,826.76 : x
  2. Step 2: Convert to fraction form
    3,005.52/4,146.36 = 1,826.76/x
  3. Step 3: Cross multiply
    3,005.52x = 4,146.36 × 1,826.76
  4. Step 4: Simplify right side
    3,005.52x = 7,574,404.59
  5. Step 5: Solve for x
    x = 7,574,404.59/3,005.52
  6. Step 6: Final answer
    x = 2,520.16

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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.