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Finding the Fourth Proportional to 4,966.50, 7,444.08 and 2,041.19

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Solution

The fourth proportional to 4,966.50, 7,444.08 and 2,041.19 is: 3,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.50 : 7,444.08 = 2,041.19 : x
  2. Step 2: Convert to fraction form
    4,966.50/7,444.08 = 2,041.19/x
  3. Step 3: Cross multiply
    4,966.50x = 7,444.08 × 2,041.19
  4. Step 4: Simplify right side
    4,966.50x = 15,194,781.66
  5. Step 5: Solve for x
    x = 15,194,781.66/4,966.50
  6. Step 6: Final answer
    x = 3,059.45

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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.