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Finding the Fourth Proportional to 3,565, 5,349.66 and 1,513

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Solution

The fourth proportional to 3,565, 5,349.66 and 1,513 is: 2,270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565 : 5,349.66 = 1,513 : x
  2. Step 2: Convert to fraction form
    3,565/5,349.66 = 1,513/x
  3. Step 3: Cross multiply
    3,565x = 5,349.66 × 1,513
  4. Step 4: Simplify right side
    3,565x = 8,094,035.58
  5. Step 5: Solve for x
    x = 8,094,035.58/3,565
  6. Step 6: Final answer
    x = 2,270.42

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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.