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Finding the Fourth Proportional to 5,395.71, 8,055.57 and 4,616.01

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Solution

The fourth proportional to 5,395.71, 8,055.57 and 4,616.01 is: 6,891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.71 : 8,055.57 = 4,616.01 : x
  2. Step 2: Convert to fraction form
    5,395.71/8,055.57 = 4,616.01/x
  3. Step 3: Cross multiply
    5,395.71x = 8,055.57 × 4,616.01
  4. Step 4: Simplify right side
    5,395.71x = 37,184,591.68
  5. Step 5: Solve for x
    x = 37,184,591.68/5,395.71
  6. Step 6: Final answer
    x = 6,891.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.