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Finding the Fourth Proportional to 5,557.84, 7,656.63 and 3,876.19

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Solution

The fourth proportional to 5,557.84, 7,656.63 and 3,876.19 is: 5,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,557.84 : 7,656.63 = 3,876.19 : x
  2. Step 2: Convert to fraction form
    5,557.84/7,656.63 = 3,876.19/x
  3. Step 3: Cross multiply
    5,557.84x = 7,656.63 × 3,876.19
  4. Step 4: Simplify right side
    5,557.84x = 29,678,552.64
  5. Step 5: Solve for x
    x = 29,678,552.64/5,557.84
  6. Step 6: Final answer
    x = 5,339.94

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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.