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Finding the Fourth Proportional to 5,476.80, 8,216.10 and 2,358.30

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Solution

The fourth proportional to 5,476.80, 8,216.10 and 2,358.30 is: 3,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.80 : 8,216.10 = 2,358.30 : x
  2. Step 2: Convert to fraction form
    5,476.80/8,216.10 = 2,358.30/x
  3. Step 3: Cross multiply
    5,476.80x = 8,216.10 × 2,358.30
  4. Step 4: Simplify right side
    5,476.80x = 19,376,028.63
  5. Step 5: Solve for x
    x = 19,376,028.63/5,476.80
  6. Step 6: Final answer
    x = 3,537.84

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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.