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Finding the Fourth Proportional to 3,810.49, 5,681.50 and 3,485.05

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Solution

The fourth proportional to 3,810.49, 5,681.50 and 3,485.05 is: 5,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.49 : 5,681.50 = 3,485.05 : x
  2. Step 2: Convert to fraction form
    3,810.49/5,681.50 = 3,485.05/x
  3. Step 3: Cross multiply
    3,810.49x = 5,681.50 × 3,485.05
  4. Step 4: Simplify right side
    3,810.49x = 19,800,265.74
  5. Step 5: Solve for x
    x = 19,800,265.74/3,810.49
  6. Step 6: Final answer
    x = 5,196.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.