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Finding the Fourth Proportional to 3,117.54, 4,301.82 and 1,858.65

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Solution

The fourth proportional to 3,117.54, 4,301.82 and 1,858.65 is: 2,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.54 : 4,301.82 = 1,858.65 : x
  2. Step 2: Convert to fraction form
    3,117.54/4,301.82 = 1,858.65/x
  3. Step 3: Cross multiply
    3,117.54x = 4,301.82 × 1,858.65
  4. Step 4: Simplify right side
    3,117.54x = 7,995,577.74
  5. Step 5: Solve for x
    x = 7,995,577.74/3,117.54
  6. Step 6: Final answer
    x = 2,564.71

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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.