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Finding the Fourth Proportional to 4,280, 5,906.50 and 2,417

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Solution

The fourth proportional to 4,280, 5,906.50 and 2,417 is: 3,335.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,280 : 5,906.50 = 2,417 : x
  2. Step 2: Convert to fraction form
    4,280/5,906.50 = 2,417/x
  3. Step 3: Cross multiply
    4,280x = 5,906.50 × 2,417
  4. Step 4: Simplify right side
    4,280x = 14,276,010.50
  5. Step 5: Solve for x
    x = 14,276,010.50/4,280
  6. Step 6: Final answer
    x = 3,335.52

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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.