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Finding the Fourth Proportional to 4,424.50, 6,639.45 and 1,827.10

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Solution

The fourth proportional to 4,424.50, 6,639.45 and 1,827.10 is: 2,741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,424.50 : 6,639.45 = 1,827.10 : x
  2. Step 2: Convert to fraction form
    4,424.50/6,639.45 = 1,827.10/x
  3. Step 3: Cross multiply
    4,424.50x = 6,639.45 × 1,827.10
  4. Step 4: Simplify right side
    4,424.50x = 12,130,896.76
  5. Step 5: Solve for x
    x = 12,130,896.76/4,424.50
  6. Step 6: Final answer
    x = 2,741.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.