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Finding the Fourth Proportional to 3,459.63, 4,772.88 and 2,412.30

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Solution

The fourth proportional to 3,459.63, 4,772.88 and 2,412.30 is: 3,327.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.63 : 4,772.88 = 2,412.30 : x
  2. Step 2: Convert to fraction form
    3,459.63/4,772.88 = 2,412.30/x
  3. Step 3: Cross multiply
    3,459.63x = 4,772.88 × 2,412.30
  4. Step 4: Simplify right side
    3,459.63x = 11,513,618.42
  5. Step 5: Solve for x
    x = 11,513,618.42/3,459.63
  6. Step 6: Final answer
    x = 3,327.99

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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.