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Finding the Fourth Proportional to 5,557.72, 8,333.46 and 1,858

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Solution

The fourth proportional to 5,557.72, 8,333.46 and 1,858 is: 2,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,557.72 : 8,333.46 = 1,858 : x
  2. Step 2: Convert to fraction form
    5,557.72/8,333.46 = 1,858/x
  3. Step 3: Cross multiply
    5,557.72x = 8,333.46 × 1,858
  4. Step 4: Simplify right side
    5,557.72x = 15,483,568.68
  5. Step 5: Solve for x
    x = 15,483,568.68/5,557.72
  6. Step 6: Final answer
    x = 2,785.96

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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.