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Finding the Fourth Proportional to 4,973.32, 7,455.31 and 1,684.11

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Solution

The fourth proportional to 4,973.32, 7,455.31 and 1,684.11 is: 2,524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.32 : 7,455.31 = 1,684.11 : x
  2. Step 2: Convert to fraction form
    4,973.32/7,455.31 = 1,684.11/x
  3. Step 3: Cross multiply
    4,973.32x = 7,455.31 × 1,684.11
  4. Step 4: Simplify right side
    4,973.32x = 12,555,562.12
  5. Step 5: Solve for x
    x = 12,555,562.12/4,973.32
  6. Step 6: Final answer
    x = 2,524.58

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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.