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Finding the Fourth Proportional to 4,774.66, 6,589.29 and 2,678.74

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Solution

The fourth proportional to 4,774.66, 6,589.29 and 2,678.74 is: 3,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.66 : 6,589.29 = 2,678.74 : x
  2. Step 2: Convert to fraction form
    4,774.66/6,589.29 = 2,678.74/x
  3. Step 3: Cross multiply
    4,774.66x = 6,589.29 × 2,678.74
  4. Step 4: Simplify right side
    4,774.66x = 17,650,994.69
  5. Step 5: Solve for x
    x = 17,650,994.69/4,774.66
  6. Step 6: Final answer
    x = 3,696.81

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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.