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Finding the Fourth Proportional to 3,643.79, 5,460.16 and 1,668.30

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Solution

The fourth proportional to 3,643.79, 5,460.16 and 1,668.30 is: 2,499.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.79 : 5,460.16 = 1,668.30 : x
  2. Step 2: Convert to fraction form
    3,643.79/5,460.16 = 1,668.30/x
  3. Step 3: Cross multiply
    3,643.79x = 5,460.16 × 1,668.30
  4. Step 4: Simplify right side
    3,643.79x = 9,109,163.41
  5. Step 5: Solve for x
    x = 9,109,163.41/3,643.79
  6. Step 6: Final answer
    x = 2,499.92

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1.5x scale

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.