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Finding the Fourth Proportional to 5,730.84, 7,909.36 and 4,142.64

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Solution

The fourth proportional to 5,730.84, 7,909.36 and 4,142.64 is: 5,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.84 : 7,909.36 = 4,142.64 : x
  2. Step 2: Convert to fraction form
    5,730.84/7,909.36 = 4,142.64/x
  3. Step 3: Cross multiply
    5,730.84x = 7,909.36 × 4,142.64
  4. Step 4: Simplify right side
    5,730.84x = 32,765,631.11
  5. Step 5: Solve for x
    x = 32,765,631.11/5,730.84
  6. Step 6: Final answer
    x = 5,717.42

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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.