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Finding the Fourth Proportional to 5,055.77, 6,983.77 and 4,584.20

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Solution

The fourth proportional to 5,055.77, 6,983.77 and 4,584.20 is: 6,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,055.77 : 6,983.77 = 4,584.20 : x
  2. Step 2: Convert to fraction form
    5,055.77/6,983.77 = 4,584.20/x
  3. Step 3: Cross multiply
    5,055.77x = 6,983.77 × 4,584.20
  4. Step 4: Simplify right side
    5,055.77x = 32,014,963.52
  5. Step 5: Solve for x
    x = 32,014,963.52/5,055.77
  6. Step 6: Final answer
    x = 6,332.36

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1.5x scale

Why These Related Problems?

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