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Finding the Fourth Proportional to 4,670.80, 7,006.17 and 1,383.91

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Solution

The fourth proportional to 4,670.80, 7,006.17 and 1,383.91 is: 2,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.80 : 7,006.17 = 1,383.91 : x
  2. Step 2: Convert to fraction form
    4,670.80/7,006.17 = 1,383.91/x
  3. Step 3: Cross multiply
    4,670.80x = 7,006.17 × 1,383.91
  4. Step 4: Simplify right side
    4,670.80x = 9,695,908.72
  5. Step 5: Solve for x
    x = 9,695,908.72/4,670.80
  6. Step 6: Final answer
    x = 2,075.86

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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.