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Finding the Fourth Proportional to 3,869.78, 5,804.10 and 1,237.58

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Solution

The fourth proportional to 3,869.78, 5,804.10 and 1,237.58 is: 1,856.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.78 : 5,804.10 = 1,237.58 : x
  2. Step 2: Convert to fraction form
    3,869.78/5,804.10 = 1,237.58/x
  3. Step 3: Cross multiply
    3,869.78x = 5,804.10 × 1,237.58
  4. Step 4: Simplify right side
    3,869.78x = 7,183,038.08
  5. Step 5: Solve for x
    x = 7,183,038.08/3,869.78
  6. Step 6: Final answer
    x = 1,856.19

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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.