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Finding the Fourth Proportional to 3,483, 5,225.31 and 2,507.36

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Solution

The fourth proportional to 3,483, 5,225.31 and 2,507.36 is: 3,761.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483 : 5,225.31 = 2,507.36 : x
  2. Step 2: Convert to fraction form
    3,483/5,225.31 = 2,507.36/x
  3. Step 3: Cross multiply
    3,483x = 5,225.31 × 2,507.36
  4. Step 4: Simplify right side
    3,483x = 13,101,707.16
  5. Step 5: Solve for x
    x = 13,101,707.16/3,483
  6. Step 6: Final answer
    x = 3,761.62

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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.