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Finding the Fourth Proportional to 5,392.84, 8,089.40 and 1,497.24

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Solution

The fourth proportional to 5,392.84, 8,089.40 and 1,497.24 is: 2,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392.84 : 8,089.40 = 1,497.24 : x
  2. Step 2: Convert to fraction form
    5,392.84/8,089.40 = 1,497.24/x
  3. Step 3: Cross multiply
    5,392.84x = 8,089.40 × 1,497.24
  4. Step 4: Simplify right side
    5,392.84x = 12,111,773.26
  5. Step 5: Solve for x
    x = 12,111,773.26/5,392.84
  6. Step 6: Final answer
    x = 2,245.90

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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.