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Finding the Fourth Proportional to 4,678.52, 7,011.72 and 1,901.95

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Solution

The fourth proportional to 4,678.52, 7,011.72 and 1,901.95 is: 2,850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.52 : 7,011.72 = 1,901.95 : x
  2. Step 2: Convert to fraction form
    4,678.52/7,011.72 = 1,901.95/x
  3. Step 3: Cross multiply
    4,678.52x = 7,011.72 × 1,901.95
  4. Step 4: Simplify right side
    4,678.52x = 13,335,905.80
  5. Step 5: Solve for x
    x = 13,335,905.80/4,678.52
  6. Step 6: Final answer
    x = 2,850.45

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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.