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Finding the Fourth Proportional to 5,146, 7,713.70 and 2,024.74

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Solution

The fourth proportional to 5,146, 7,713.70 and 2,024.74 is: 3,035.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146 : 7,713.70 = 2,024.74 : x
  2. Step 2: Convert to fraction form
    5,146/7,713.70 = 2,024.74/x
  3. Step 3: Cross multiply
    5,146x = 7,713.70 × 2,024.74
  4. Step 4: Simplify right side
    5,146x = 15,618,226.81
  5. Step 5: Solve for x
    x = 15,618,226.81/5,146
  6. Step 6: Final answer
    x = 3,035.02

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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.