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Finding the Fourth Proportional to 5,807.36, 8,691.60 and 4,767.32

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Solution

The fourth proportional to 5,807.36, 8,691.60 and 4,767.32 is: 7,135.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.36 : 8,691.60 = 4,767.32 : x
  2. Step 2: Convert to fraction form
    5,807.36/8,691.60 = 4,767.32/x
  3. Step 3: Cross multiply
    5,807.36x = 8,691.60 × 4,767.32
  4. Step 4: Simplify right side
    5,807.36x = 41,435,638.51
  5. Step 5: Solve for x
    x = 41,435,638.51/5,807.36
  6. Step 6: Final answer
    x = 7,135.02

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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.