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Finding the Fourth Proportional to 5,783.58, 7,974.10 and 4,827.87

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Solution

The fourth proportional to 5,783.58, 7,974.10 and 4,827.87 is: 6,656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.58 : 7,974.10 = 4,827.87 : x
  2. Step 2: Convert to fraction form
    5,783.58/7,974.10 = 4,827.87/x
  3. Step 3: Cross multiply
    5,783.58x = 7,974.10 × 4,827.87
  4. Step 4: Simplify right side
    5,783.58x = 38,497,918.17
  5. Step 5: Solve for x
    x = 38,497,918.17/5,783.58
  6. Step 6: Final answer
    x = 6,656.42

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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.