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Finding the Fourth Proportional to 5,019.84, 7,530.42 and 1,856.85

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Solution

The fourth proportional to 5,019.84, 7,530.42 and 1,856.85 is: 2,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,019.84 : 7,530.42 = 1,856.85 : x
  2. Step 2: Convert to fraction form
    5,019.84/7,530.42 = 1,856.85/x
  3. Step 3: Cross multiply
    5,019.84x = 7,530.42 × 1,856.85
  4. Step 4: Simplify right side
    5,019.84x = 13,982,825.17
  5. Step 5: Solve for x
    x = 13,982,825.17/5,019.84
  6. Step 6: Final answer
    x = 2,785.51

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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.