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Finding the Fourth Proportional to 3,801.47, 5,703.08 and 1,610.28

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Solution

The fourth proportional to 3,801.47, 5,703.08 and 1,610.28 is: 2,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.47 : 5,703.08 = 1,610.28 : x
  2. Step 2: Convert to fraction form
    3,801.47/5,703.08 = 1,610.28/x
  3. Step 3: Cross multiply
    3,801.47x = 5,703.08 × 1,610.28
  4. Step 4: Simplify right side
    3,801.47x = 9,183,547.61
  5. Step 5: Solve for x
    x = 9,183,547.61/3,801.47
  6. Step 6: Final answer
    x = 2,415.79

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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.