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Finding the Fourth Proportional to 5,019.30, 7,529.00 and 2,056.98

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Solution

The fourth proportional to 5,019.30, 7,529.00 and 2,056.98 is: 3,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,019.30 : 7,529.00 = 2,056.98 : x
  2. Step 2: Convert to fraction form
    5,019.30/7,529.00 = 2,056.98/x
  3. Step 3: Cross multiply
    5,019.30x = 7,529.00 × 2,056.98
  4. Step 4: Simplify right side
    5,019.30x = 15,486,992.14
  5. Step 5: Solve for x
    x = 15,486,992.14/5,019.30
  6. Step 6: Final answer
    x = 3,085.49

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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.