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Finding the Fourth Proportional to 5,477.71, 8,210.41 and 2,698.50

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Solution

The fourth proportional to 5,477.71, 8,210.41 and 2,698.50 is: 4,044.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.71 : 8,210.41 = 2,698.50 : x
  2. Step 2: Convert to fraction form
    5,477.71/8,210.41 = 2,698.50/x
  3. Step 3: Cross multiply
    5,477.71x = 8,210.41 × 2,698.50
  4. Step 4: Simplify right side
    5,477.71x = 22,155,791.39
  5. Step 5: Solve for x
    x = 22,155,791.39/5,477.71
  6. Step 6: Final answer
    x = 4,044.72

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Why These Related Problems?

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