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Finding the Fourth Proportional to 4,648.08, 6,966.03 and 4,029.24

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Solution

The fourth proportional to 4,648.08, 6,966.03 and 4,029.24 is: 6,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.08 : 6,966.03 = 4,029.24 : x
  2. Step 2: Convert to fraction form
    4,648.08/6,966.03 = 4,029.24/x
  3. Step 3: Cross multiply
    4,648.08x = 6,966.03 × 4,029.24
  4. Step 4: Simplify right side
    4,648.08x = 28,067,806.72
  5. Step 5: Solve for x
    x = 28,067,806.72/4,648.08
  6. Step 6: Final answer
    x = 6,038.58

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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.