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Finding the Fourth Proportional to 5,006.98, 7,509.82 and 1,309.50

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Solution

The fourth proportional to 5,006.98, 7,509.82 and 1,309.50 is: 1,964.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.98 : 7,509.82 = 1,309.50 : x
  2. Step 2: Convert to fraction form
    5,006.98/7,509.82 = 1,309.50/x
  3. Step 3: Cross multiply
    5,006.98x = 7,509.82 × 1,309.50
  4. Step 4: Simplify right side
    5,006.98x = 9,834,109.29
  5. Step 5: Solve for x
    x = 9,834,109.29/5,006.98
  6. Step 6: Final answer
    x = 1,964.08

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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.