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Finding the Fourth Proportional to 3,065.28, 4,597.92 and 1,333.50

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Solution

The fourth proportional to 3,065.28, 4,597.92 and 1,333.50 is: 2,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.28 : 4,597.92 = 1,333.50 : x
  2. Step 2: Convert to fraction form
    3,065.28/4,597.92 = 1,333.50/x
  3. Step 3: Cross multiply
    3,065.28x = 4,597.92 × 1,333.50
  4. Step 4: Simplify right side
    3,065.28x = 6,131,326.32
  5. Step 5: Solve for x
    x = 6,131,326.32/3,065.28
  6. Step 6: Final answer
    x = 2,000.25

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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.