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Finding the Fourth Proportional to 4,859.83, 6,690.34 and 4,636.66

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Solution

The fourth proportional to 4,859.83, 6,690.34 and 4,636.66 is: 6,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.83 : 6,690.34 = 4,636.66 : x
  2. Step 2: Convert to fraction form
    4,859.83/6,690.34 = 4,636.66/x
  3. Step 3: Cross multiply
    4,859.83x = 6,690.34 × 4,636.66
  4. Step 4: Simplify right side
    4,859.83x = 31,020,775.23
  5. Step 5: Solve for x
    x = 31,020,775.23/4,859.83
  6. Step 6: Final answer
    x = 6,383.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.