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Finding the Fourth Proportional to 5,307.48, 7,963.98 and 2,966.04

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Solution

The fourth proportional to 5,307.48, 7,963.98 and 2,966.04 is: 4,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.48 : 7,963.98 = 2,966.04 : x
  2. Step 2: Convert to fraction form
    5,307.48/7,963.98 = 2,966.04/x
  3. Step 3: Cross multiply
    5,307.48x = 7,963.98 × 2,966.04
  4. Step 4: Simplify right side
    5,307.48x = 23,621,483.24
  5. Step 5: Solve for x
    x = 23,621,483.24/5,307.48
  6. Step 6: Final answer
    x = 4,450.60

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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.