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Finding the Fourth Proportional to 4,973.94, 7,461.81 and 2,050.65

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Solution

The fourth proportional to 4,973.94, 7,461.81 and 2,050.65 is: 3,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.94 : 7,461.81 = 2,050.65 : x
  2. Step 2: Convert to fraction form
    4,973.94/7,461.81 = 2,050.65/x
  3. Step 3: Cross multiply
    4,973.94x = 7,461.81 × 2,050.65
  4. Step 4: Simplify right side
    4,973.94x = 15,301,560.68
  5. Step 5: Solve for x
    x = 15,301,560.68/4,973.94
  6. Step 6: Final answer
    x = 3,076.35

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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.