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Finding the Fourth Proportional to 5,648.36, 8,472.54 and 2,359.40

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Solution

The fourth proportional to 5,648.36, 8,472.54 and 2,359.40 is: 3,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.36 : 8,472.54 = 2,359.40 : x
  2. Step 2: Convert to fraction form
    5,648.36/8,472.54 = 2,359.40/x
  3. Step 3: Cross multiply
    5,648.36x = 8,472.54 × 2,359.40
  4. Step 4: Simplify right side
    5,648.36x = 19,990,110.88
  5. Step 5: Solve for x
    x = 19,990,110.88/5,648.36
  6. Step 6: Final answer
    x = 3,539.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.