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Finding the Fourth Proportional to 5,349.58, 8,025.06 and 1,652.19

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Solution

The fourth proportional to 5,349.58, 8,025.06 and 1,652.19 is: 2,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.58 : 8,025.06 = 1,652.19 : x
  2. Step 2: Convert to fraction form
    5,349.58/8,025.06 = 1,652.19/x
  3. Step 3: Cross multiply
    5,349.58x = 8,025.06 × 1,652.19
  4. Step 4: Simplify right side
    5,349.58x = 13,258,923.88
  5. Step 5: Solve for x
    x = 13,258,923.88/5,349.58
  6. Step 6: Final answer
    x = 2,478.50

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Why These Related Problems?

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