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Finding the Fourth Proportional to 4,326, 5,970.96 and 2,464.08

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Solution

The fourth proportional to 4,326, 5,970.96 and 2,464.08 is: 3,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326 : 5,970.96 = 2,464.08 : x
  2. Step 2: Convert to fraction form
    4,326/5,970.96 = 2,464.08/x
  3. Step 3: Cross multiply
    4,326x = 5,970.96 × 2,464.08
  4. Step 4: Simplify right side
    4,326x = 14,712,923.12
  5. Step 5: Solve for x
    x = 14,712,923.12/4,326
  6. Step 6: Final answer
    x = 3,401.05

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1.5x scale

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.