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Finding the Fourth Proportional to 3,875.52, 5,810.01 and 1,682.60

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Solution

The fourth proportional to 3,875.52, 5,810.01 and 1,682.60 is: 2,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.52 : 5,810.01 = 1,682.60 : x
  2. Step 2: Convert to fraction form
    3,875.52/5,810.01 = 1,682.60/x
  3. Step 3: Cross multiply
    3,875.52x = 5,810.01 × 1,682.60
  4. Step 4: Simplify right side
    3,875.52x = 9,775,893.78
  5. Step 5: Solve for x
    x = 9,775,893.78/3,875.52
  6. Step 6: Final answer
    x = 2,522.47

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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.