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Finding the Fourth Proportional to 5,676.32, 7,838.30 and 5,490.43

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Solution

The fourth proportional to 5,676.32, 7,838.30 and 5,490.43 is: 7,581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.32 : 7,838.30 = 5,490.43 : x
  2. Step 2: Convert to fraction form
    5,676.32/7,838.30 = 5,490.43/x
  3. Step 3: Cross multiply
    5,676.32x = 7,838.30 × 5,490.43
  4. Step 4: Simplify right side
    5,676.32x = 43,035,631.60
  5. Step 5: Solve for x
    x = 43,035,631.60/5,676.32
  6. Step 6: Final answer
    x = 7,581.60

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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.