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Finding the Fourth Proportional to 5,505.80, 8,258.72 and 1,345.83

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Solution

The fourth proportional to 5,505.80, 8,258.72 and 1,345.83 is: 2,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.80 : 8,258.72 = 1,345.83 : x
  2. Step 2: Convert to fraction form
    5,505.80/8,258.72 = 1,345.83/x
  3. Step 3: Cross multiply
    5,505.80x = 8,258.72 × 1,345.83
  4. Step 4: Simplify right side
    5,505.80x = 11,114,826.41
  5. Step 5: Solve for x
    x = 11,114,826.41/5,505.80
  6. Step 6: Final answer
    x = 2,018.75

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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.