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Finding the Fourth Proportional to 4,770.52, 6,583.14 and 2,674.66

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Solution

The fourth proportional to 4,770.52, 6,583.14 and 2,674.66 is: 3,690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.52 : 6,583.14 = 2,674.66 : x
  2. Step 2: Convert to fraction form
    4,770.52/6,583.14 = 2,674.66/x
  3. Step 3: Cross multiply
    4,770.52x = 6,583.14 × 2,674.66
  4. Step 4: Simplify right side
    4,770.52x = 17,607,661.23
  5. Step 5: Solve for x
    x = 17,607,661.23/4,770.52
  6. Step 6: Final answer
    x = 3,690.93

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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.