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Finding the Fourth Proportional to 5,726.98, 8,590.55 and 1,622.98

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Solution

The fourth proportional to 5,726.98, 8,590.55 and 1,622.98 is: 2,434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.98 : 8,590.55 = 1,622.98 : x
  2. Step 2: Convert to fraction form
    5,726.98/8,590.55 = 1,622.98/x
  3. Step 3: Cross multiply
    5,726.98x = 8,590.55 × 1,622.98
  4. Step 4: Simplify right side
    5,726.98x = 13,942,290.84
  5. Step 5: Solve for x
    x = 13,942,290.84/5,726.98
  6. Step 6: Final answer
    x = 2,434.49

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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.