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Finding the Fourth Proportional to 4,648.27, 6,411.71 and 3,055.00

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Solution

The fourth proportional to 4,648.27, 6,411.71 and 3,055.00 is: 4,213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.27 : 6,411.71 = 3,055.00 : x
  2. Step 2: Convert to fraction form
    4,648.27/6,411.71 = 3,055.00/x
  3. Step 3: Cross multiply
    4,648.27x = 6,411.71 × 3,055.00
  4. Step 4: Simplify right side
    4,648.27x = 19,587,760.50
  5. Step 5: Solve for x
    x = 19,587,760.50/4,648.27
  6. Step 6: Final answer
    x = 4,213.99

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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.