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Finding the Fourth Proportional to 5,566.84, 7,641.30 and 4,923.26

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Solution

The fourth proportional to 5,566.84, 7,641.30 and 4,923.26 is: 6,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.84 : 7,641.30 = 4,923.26 : x
  2. Step 2: Convert to fraction form
    5,566.84/7,641.30 = 4,923.26/x
  3. Step 3: Cross multiply
    5,566.84x = 7,641.30 × 4,923.26
  4. Step 4: Simplify right side
    5,566.84x = 37,620,106.64
  5. Step 5: Solve for x
    x = 37,620,106.64/5,566.84
  6. Step 6: Final answer
    x = 6,757.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.