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Finding the Fourth Proportional to 4,782.19, 6,583.04 and 4,149.00

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Solution

The fourth proportional to 4,782.19, 6,583.04 and 4,149.00 is: 5,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.19 : 6,583.04 = 4,149.00 : x
  2. Step 2: Convert to fraction form
    4,782.19/6,583.04 = 4,149.00/x
  3. Step 3: Cross multiply
    4,782.19x = 6,583.04 × 4,149.00
  4. Step 4: Simplify right side
    4,782.19x = 27,313,000.04
  5. Step 5: Solve for x
    x = 27,313,000.04/4,782.19
  6. Step 6: Final answer
    x = 5,711.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.