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Finding the Fourth Proportional to 4,351.50, 6,530.16 and 1,615.50

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Solution

The fourth proportional to 4,351.50, 6,530.16 and 1,615.50 is: 2,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,351.50 : 6,530.16 = 1,615.50 : x
  2. Step 2: Convert to fraction form
    4,351.50/6,530.16 = 1,615.50/x
  3. Step 3: Cross multiply
    4,351.50x = 6,530.16 × 1,615.50
  4. Step 4: Simplify right side
    4,351.50x = 10,549,473.48
  5. Step 5: Solve for x
    x = 10,549,473.48/4,351.50
  6. Step 6: Final answer
    x = 2,424.33

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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.