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Finding the Fourth Proportional to 6,340.48, 8,746.96 and 4,103.10

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Solution

The fourth proportional to 6,340.48, 8,746.96 and 4,103.10 is: 5,660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.48 : 8,746.96 = 4,103.10 : x
  2. Step 2: Convert to fraction form
    6,340.48/8,746.96 = 4,103.10/x
  3. Step 3: Cross multiply
    6,340.48x = 8,746.96 × 4,103.10
  4. Step 4: Simplify right side
    6,340.48x = 35,889,651.58
  5. Step 5: Solve for x
    x = 35,889,651.58/6,340.48
  6. Step 6: Final answer
    x = 5,660.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.