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Finding the Fourth Proportional to 5,378.84, 8,069.16 and 1,681.44

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Solution

The fourth proportional to 5,378.84, 8,069.16 and 1,681.44 is: 2,522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.84 : 8,069.16 = 1,681.44 : x
  2. Step 2: Convert to fraction form
    5,378.84/8,069.16 = 1,681.44/x
  3. Step 3: Cross multiply
    5,378.84x = 8,069.16 × 1,681.44
  4. Step 4: Simplify right side
    5,378.84x = 13,567,808.39
  5. Step 5: Solve for x
    x = 13,567,808.39/5,378.84
  6. Step 6: Final answer
    x = 2,522.44

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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.