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Finding the Fourth Proportional to 4,973.00, 7,456.46 and 2,047.68

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Solution

The fourth proportional to 4,973.00, 7,456.46 and 2,047.68 is: 3,070.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.00 : 7,456.46 = 2,047.68 : x
  2. Step 2: Convert to fraction form
    4,973.00/7,456.46 = 2,047.68/x
  3. Step 3: Cross multiply
    4,973.00x = 7,456.46 × 2,047.68
  4. Step 4: Simplify right side
    4,973.00x = 15,268,433.77
  5. Step 5: Solve for x
    x = 15,268,433.77/4,973.00
  6. Step 6: Final answer
    x = 3,070.27

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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.