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Finding the Fourth Proportional to 5,137.08, 7,706.08 and 1,439.36

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Solution

The fourth proportional to 5,137.08, 7,706.08 and 1,439.36 is: 2,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.08 : 7,706.08 = 1,439.36 : x
  2. Step 2: Convert to fraction form
    5,137.08/7,706.08 = 1,439.36/x
  3. Step 3: Cross multiply
    5,137.08x = 7,706.08 × 1,439.36
  4. Step 4: Simplify right side
    5,137.08x = 11,091,823.31
  5. Step 5: Solve for x
    x = 11,091,823.31/5,137.08
  6. Step 6: Final answer
    x = 2,159.17

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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.