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Finding the Fourth Proportional to 4,005.74, 5,492.78 and 3,866.69

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Solution

The fourth proportional to 4,005.74, 5,492.78 and 3,866.69 is: 5,302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.74 : 5,492.78 = 3,866.69 : x
  2. Step 2: Convert to fraction form
    4,005.74/5,492.78 = 3,866.69/x
  3. Step 3: Cross multiply
    4,005.74x = 5,492.78 × 3,866.69
  4. Step 4: Simplify right side
    4,005.74x = 21,238,830.70
  5. Step 5: Solve for x
    x = 21,238,830.70/4,005.74
  6. Step 6: Final answer
    x = 5,302.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.