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Finding the Fourth Proportional to 4,973.75, 7,455.16 and 2,050.46

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Solution

The fourth proportional to 4,973.75, 7,455.16 and 2,050.46 is: 3,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.75 : 7,455.16 = 2,050.46 : x
  2. Step 2: Convert to fraction form
    4,973.75/7,455.16 = 2,050.46/x
  3. Step 3: Cross multiply
    4,973.75x = 7,455.16 × 2,050.46
  4. Step 4: Simplify right side
    4,973.75x = 15,286,507.37
  5. Step 5: Solve for x
    x = 15,286,507.37/4,973.75
  6. Step 6: Final answer
    x = 3,073.44

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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.