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Finding the Fourth Proportional to 5,320.26, 7,984.99 and 5,307.95

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Solution

The fourth proportional to 5,320.26, 7,984.99 and 5,307.95 is: 7,966.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.26 : 7,984.99 = 5,307.95 : x
  2. Step 2: Convert to fraction form
    5,320.26/7,984.99 = 5,307.95/x
  3. Step 3: Cross multiply
    5,320.26x = 7,984.99 × 5,307.95
  4. Step 4: Simplify right side
    5,320.26x = 42,383,927.67
  5. Step 5: Solve for x
    x = 42,383,927.67/5,320.26
  6. Step 6: Final answer
    x = 7,966.51

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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.