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Finding the Fourth Proportional to 4,969.83, 7,458.16 and 2,048.13

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Solution

The fourth proportional to 4,969.83, 7,458.16 and 2,048.13 is: 3,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.83 : 7,458.16 = 2,048.13 : x
  2. Step 2: Convert to fraction form
    4,969.83/7,458.16 = 2,048.13/x
  3. Step 3: Cross multiply
    4,969.83x = 7,458.16 × 2,048.13
  4. Step 4: Simplify right side
    4,969.83x = 15,275,281.24
  5. Step 5: Solve for x
    x = 15,275,281.24/4,969.83
  6. Step 6: Final answer
    x = 3,073.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.