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Finding the Fourth Proportional to 5,976.40, 8,953.80 and 5,285.20

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Solution

The fourth proportional to 5,976.40, 8,953.80 and 5,285.20 is: 7,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.40 : 8,953.80 = 5,285.20 : x
  2. Step 2: Convert to fraction form
    5,976.40/8,953.80 = 5,285.20/x
  3. Step 3: Cross multiply
    5,976.40x = 8,953.80 × 5,285.20
  4. Step 4: Simplify right side
    5,976.40x = 47,322,623.76
  5. Step 5: Solve for x
    x = 47,322,623.76/5,976.40
  6. Step 6: Final answer
    x = 7,918.25

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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.