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Finding the Fourth Proportional to 4,762.86, 7,145.28 and 1,642.74

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Solution

The fourth proportional to 4,762.86, 7,145.28 and 1,642.74 is: 2,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.86 : 7,145.28 = 1,642.74 : x
  2. Step 2: Convert to fraction form
    4,762.86/7,145.28 = 1,642.74/x
  3. Step 3: Cross multiply
    4,762.86x = 7,145.28 × 1,642.74
  4. Step 4: Simplify right side
    4,762.86x = 11,737,837.27
  5. Step 5: Solve for x
    x = 11,737,837.27/4,762.86
  6. Step 6: Final answer
    x = 2,464.45

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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.