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Finding the Fourth Proportional to 5,546.40, 8,303.40 and 5,384.40

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Solution

The fourth proportional to 5,546.40, 8,303.40 and 5,384.40 is: 8,060.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.40 : 8,303.40 = 5,384.40 : x
  2. Step 2: Convert to fraction form
    5,546.40/8,303.40 = 5,384.40/x
  3. Step 3: Cross multiply
    5,546.40x = 8,303.40 × 5,384.40
  4. Step 4: Simplify right side
    5,546.40x = 44,708,826.96
  5. Step 5: Solve for x
    x = 44,708,826.96/5,546.40
  6. Step 6: Final answer
    x = 8,060.87

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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.