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Finding the Fourth Proportional to 6,225.21, 8,590.82 and 3,430.71

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Solution

The fourth proportional to 6,225.21, 8,590.82 and 3,430.71 is: 4,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.21 : 8,590.82 = 3,430.71 : x
  2. Step 2: Convert to fraction form
    6,225.21/8,590.82 = 3,430.71/x
  3. Step 3: Cross multiply
    6,225.21x = 8,590.82 × 3,430.71
  4. Step 4: Simplify right side
    6,225.21x = 29,472,594.93
  5. Step 5: Solve for x
    x = 29,472,594.93/6,225.21
  6. Step 6: Final answer
    x = 4,734.39

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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.