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Finding the Fourth Proportional to 5,354.46, 7,384.23 and 4,523.58

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Solution

The fourth proportional to 5,354.46, 7,384.23 and 4,523.58 is: 6,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.46 : 7,384.23 = 4,523.58 : x
  2. Step 2: Convert to fraction form
    5,354.46/7,384.23 = 4,523.58/x
  3. Step 3: Cross multiply
    5,354.46x = 7,384.23 × 4,523.58
  4. Step 4: Simplify right side
    5,354.46x = 33,403,155.14
  5. Step 5: Solve for x
    x = 33,403,155.14/5,354.46
  6. Step 6: Final answer
    x = 6,238.38

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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.