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Finding the Fourth Proportional to 5,677.33, 7,827.68 and 3,657.32

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Solution

The fourth proportional to 5,677.33, 7,827.68 and 3,657.32 is: 5,042.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.33 : 7,827.68 = 3,657.32 : x
  2. Step 2: Convert to fraction form
    5,677.33/7,827.68 = 3,657.32/x
  3. Step 3: Cross multiply
    5,677.33x = 7,827.68 × 3,657.32
  4. Step 4: Simplify right side
    5,677.33x = 28,628,312.33
  5. Step 5: Solve for x
    x = 28,628,312.33/5,677.33
  6. Step 6: Final answer
    x = 5,042.57

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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.