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Finding the Fourth Proportional to 3,466.94, 5,199.47 and 1,616.24

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Solution

The fourth proportional to 3,466.94, 5,199.47 and 1,616.24 is: 2,423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.94 : 5,199.47 = 1,616.24 : x
  2. Step 2: Convert to fraction form
    3,466.94/5,199.47 = 1,616.24/x
  3. Step 3: Cross multiply
    3,466.94x = 5,199.47 × 1,616.24
  4. Step 4: Simplify right side
    3,466.94x = 8,403,602.37
  5. Step 5: Solve for x
    x = 8,403,602.37/3,466.94
  6. Step 6: Final answer
    x = 2,423.93

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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.