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Finding the Fourth Proportional to 4,637.99, 6,957 and 1,351.17

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Solution

The fourth proportional to 4,637.99, 6,957 and 1,351.17 is: 2,026.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.99 : 6,957 = 1,351.17 : x
  2. Step 2: Convert to fraction form
    4,637.99/6,957 = 1,351.17/x
  3. Step 3: Cross multiply
    4,637.99x = 6,957 × 1,351.17
  4. Step 4: Simplify right side
    4,637.99x = 9,400,089.69
  5. Step 5: Solve for x
    x = 9,400,089.69/4,637.99
  6. Step 6: Final answer
    x = 2,026.76

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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.