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Finding the Fourth Proportional to 5,307.07, 7,964.07 and 2,020.19

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Solution

The fourth proportional to 5,307.07, 7,964.07 and 2,020.19 is: 3,031.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.07 : 7,964.07 = 2,020.19 : x
  2. Step 2: Convert to fraction form
    5,307.07/7,964.07 = 2,020.19/x
  3. Step 3: Cross multiply
    5,307.07x = 7,964.07 × 2,020.19
  4. Step 4: Simplify right side
    5,307.07x = 16,088,943.34
  5. Step 5: Solve for x
    x = 16,088,943.34/5,307.07
  6. Step 6: Final answer
    x = 3,031.61

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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.