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Finding the Fourth Proportional to 4,048.38, 6,063.78 and 1,964.00

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Solution

The fourth proportional to 4,048.38, 6,063.78 and 1,964.00 is: 2,941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,048.38 : 6,063.78 = 1,964.00 : x
  2. Step 2: Convert to fraction form
    4,048.38/6,063.78 = 1,964.00/x
  3. Step 3: Cross multiply
    4,048.38x = 6,063.78 × 1,964.00
  4. Step 4: Simplify right side
    4,048.38x = 11,909,271.71
  5. Step 5: Solve for x
    x = 11,909,271.71/4,048.38
  6. Step 6: Final answer
    x = 2,941.74

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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.