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Finding the Fourth Proportional to 4,704.92, 7,058.34 and 1,417.88

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Solution

The fourth proportional to 4,704.92, 7,058.34 and 1,417.88 is: 2,127.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.92 : 7,058.34 = 1,417.88 : x
  2. Step 2: Convert to fraction form
    4,704.92/7,058.34 = 1,417.88/x
  3. Step 3: Cross multiply
    4,704.92x = 7,058.34 × 1,417.88
  4. Step 4: Simplify right side
    4,704.92x = 10,007,879.12
  5. Step 5: Solve for x
    x = 10,007,879.12/4,704.92
  6. Step 6: Final answer
    x = 2,127.11

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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.