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Finding the Fourth Proportional to 3,865.13, 5,798.52 and 1,556.63

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Solution

The fourth proportional to 3,865.13, 5,798.52 and 1,556.63 is: 2,335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.13 : 5,798.52 = 1,556.63 : x
  2. Step 2: Convert to fraction form
    3,865.13/5,798.52 = 1,556.63/x
  3. Step 3: Cross multiply
    3,865.13x = 5,798.52 × 1,556.63
  4. Step 4: Simplify right side
    3,865.13x = 9,026,150.19
  5. Step 5: Solve for x
    x = 9,026,150.19/3,865.13
  6. Step 6: Final answer
    x = 2,335.28

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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.