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Finding the Fourth Proportional to 3,365, 4,643.72 and 1,967.48

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Solution

The fourth proportional to 3,365, 4,643.72 and 1,967.48 is: 2,715.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365 : 4,643.72 = 1,967.48 : x
  2. Step 2: Convert to fraction form
    3,365/4,643.72 = 1,967.48/x
  3. Step 3: Cross multiply
    3,365x = 4,643.72 × 1,967.48
  4. Step 4: Simplify right side
    3,365x = 9,136,426.23
  5. Step 5: Solve for x
    x = 9,136,426.23/3,365
  6. Step 6: Final answer
    x = 2,715.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.