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Finding the Fourth Proportional to 4,858.37, 6,690.56 and 4,636.93

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Solution

The fourth proportional to 4,858.37, 6,690.56 and 4,636.93 is: 6,385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.37 : 6,690.56 = 4,636.93 : x
  2. Step 2: Convert to fraction form
    4,858.37/6,690.56 = 4,636.93/x
  3. Step 3: Cross multiply
    4,858.37x = 6,690.56 × 4,636.93
  4. Step 4: Simplify right side
    4,858.37x = 31,023,658.38
  5. Step 5: Solve for x
    x = 31,023,658.38/4,858.37
  6. Step 6: Final answer
    x = 6,385.61

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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.