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Finding the Fourth Proportional to 3,869.22, 5,798.16 and 2,403.93

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Solution

The fourth proportional to 3,869.22, 5,798.16 and 2,403.93 is: 3,602.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.22 : 5,798.16 = 2,403.93 : x
  2. Step 2: Convert to fraction form
    3,869.22/5,798.16 = 2,403.93/x
  3. Step 3: Cross multiply
    3,869.22x = 5,798.16 × 2,403.93
  4. Step 4: Simplify right side
    3,869.22x = 13,938,370.77
  5. Step 5: Solve for x
    x = 13,938,370.77/3,869.22
  6. Step 6: Final answer
    x = 3,602.37

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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.