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Finding the Fourth Proportional to 4,731.86, 7,095.44 and 2,758.16

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Solution

The fourth proportional to 4,731.86, 7,095.44 and 2,758.16 is: 4,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.86 : 7,095.44 = 2,758.16 : x
  2. Step 2: Convert to fraction form
    4,731.86/7,095.44 = 2,758.16/x
  3. Step 3: Cross multiply
    4,731.86x = 7,095.44 × 2,758.16
  4. Step 4: Simplify right side
    4,731.86x = 19,570,358.79
  5. Step 5: Solve for x
    x = 19,570,358.79/4,731.86
  6. Step 6: Final answer
    x = 4,135.87

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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.