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Finding the Fourth Proportional to 3,475, 4,795.50 and 2,003

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Solution

The fourth proportional to 3,475, 4,795.50 and 2,003 is: 2,764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475 : 4,795.50 = 2,003 : x
  2. Step 2: Convert to fraction form
    3,475/4,795.50 = 2,003/x
  3. Step 3: Cross multiply
    3,475x = 4,795.50 × 2,003
  4. Step 4: Simplify right side
    3,475x = 9,605,386.50
  5. Step 5: Solve for x
    x = 9,605,386.50/3,475
  6. Step 6: Final answer
    x = 2,764.14

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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.