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Finding the Fourth Proportional to 4,775.84, 6,590.67 and 2,679.96

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Solution

The fourth proportional to 4,775.84, 6,590.67 and 2,679.96 is: 3,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.84 : 6,590.67 = 2,679.96 : x
  2. Step 2: Convert to fraction form
    4,775.84/6,590.67 = 2,679.96/x
  3. Step 3: Cross multiply
    4,775.84x = 6,590.67 × 2,679.96
  4. Step 4: Simplify right side
    4,775.84x = 17,662,728.10
  5. Step 5: Solve for x
    x = 17,662,728.10/4,775.84
  6. Step 6: Final answer
    x = 3,698.35

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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.