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Finding the Fourth Proportional to 4,046.26, 6,065.06 and 2,888.50

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Solution

The fourth proportional to 4,046.26, 6,065.06 and 2,888.50 is: 4,329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.26 : 6,065.06 = 2,888.50 : x
  2. Step 2: Convert to fraction form
    4,046.26/6,065.06 = 2,888.50/x
  3. Step 3: Cross multiply
    4,046.26x = 6,065.06 × 2,888.50
  4. Step 4: Simplify right side
    4,046.26x = 17,518,895.48
  5. Step 5: Solve for x
    x = 17,518,895.48/4,046.26
  6. Step 6: Final answer
    x = 4,329.66

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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.