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Finding the Fourth Proportional to 4,643.44, 6,963.28 and 2,697

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Solution

The fourth proportional to 4,643.44, 6,963.28 and 2,697 is: 4,044.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.44 : 6,963.28 = 2,697 : x
  2. Step 2: Convert to fraction form
    4,643.44/6,963.28 = 2,697/x
  3. Step 3: Cross multiply
    4,643.44x = 6,963.28 × 2,697
  4. Step 4: Simplify right side
    4,643.44x = 18,779,966.16
  5. Step 5: Solve for x
    x = 18,779,966.16/4,643.44
  6. Step 6: Final answer
    x = 4,044.41

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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.