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Finding the Fourth Proportional to 4,957.83, 7,444.04 and 2,041.83

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Solution

The fourth proportional to 4,957.83, 7,444.04 and 2,041.83 is: 3,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.83 : 7,444.04 = 2,041.83 : x
  2. Step 2: Convert to fraction form
    4,957.83/7,444.04 = 2,041.83/x
  3. Step 3: Cross multiply
    4,957.83x = 7,444.04 × 2,041.83
  4. Step 4: Simplify right side
    4,957.83x = 15,199,453.98
  5. Step 5: Solve for x
    x = 15,199,453.98/4,957.83
  6. Step 6: Final answer
    x = 3,065.75

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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.