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Finding the Fourth Proportional to 6,225.78, 8,590.86 and 3,707.39

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Solution

The fourth proportional to 6,225.78, 8,590.86 and 3,707.39 is: 5,115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.78 : 8,590.86 = 3,707.39 : x
  2. Step 2: Convert to fraction form
    6,225.78/8,590.86 = 3,707.39/x
  3. Step 3: Cross multiply
    6,225.78x = 8,590.86 × 3,707.39
  4. Step 4: Simplify right side
    6,225.78x = 31,849,641.61
  5. Step 5: Solve for x
    x = 31,849,641.61/6,225.78
  6. Step 6: Final answer
    x = 5,115.77

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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.