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Finding the Fourth Proportional to 3,167.48, 4,746.36 and 2,681.48

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Solution

The fourth proportional to 3,167.48, 4,746.36 and 2,681.48 is: 4,018.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.48 : 4,746.36 = 2,681.48 : x
  2. Step 2: Convert to fraction form
    3,167.48/4,746.36 = 2,681.48/x
  3. Step 3: Cross multiply
    3,167.48x = 4,746.36 × 2,681.48
  4. Step 4: Simplify right side
    3,167.48x = 12,727,269.41
  5. Step 5: Solve for x
    x = 12,727,269.41/3,167.48
  6. Step 6: Final answer
    x = 4,018.11

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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.