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Finding the Fourth Proportional to 6,159.54, 9,226.98 and 2,868.06

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Solution

The fourth proportional to 6,159.54, 9,226.98 and 2,868.06 is: 4,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.54 : 9,226.98 = 2,868.06 : x
  2. Step 2: Convert to fraction form
    6,159.54/9,226.98 = 2,868.06/x
  3. Step 3: Cross multiply
    6,159.54x = 9,226.98 × 2,868.06
  4. Step 4: Simplify right side
    6,159.54x = 26,463,532.26
  5. Step 5: Solve for x
    x = 26,463,532.26/6,159.54
  6. Step 6: Final answer
    x = 4,296.35

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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.