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Finding the Fourth Proportional to 5,307.88, 7,962.95 and 1,559.97

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Solution

The fourth proportional to 5,307.88, 7,962.95 and 1,559.97 is: 2,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.88 : 7,962.95 = 1,559.97 : x
  2. Step 2: Convert to fraction form
    5,307.88/7,962.95 = 1,559.97/x
  3. Step 3: Cross multiply
    5,307.88x = 7,962.95 × 1,559.97
  4. Step 4: Simplify right side
    5,307.88x = 12,421,963.11
  5. Step 5: Solve for x
    x = 12,421,963.11/5,307.88
  6. Step 6: Final answer
    x = 2,340.29

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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.