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Finding the Fourth Proportional to 4,927.07, 7,391.82 and 1,464.32

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Solution

The fourth proportional to 4,927.07, 7,391.82 and 1,464.32 is: 2,196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.07 : 7,391.82 = 1,464.32 : x
  2. Step 2: Convert to fraction form
    4,927.07/7,391.82 = 1,464.32/x
  3. Step 3: Cross multiply
    4,927.07x = 7,391.82 × 1,464.32
  4. Step 4: Simplify right side
    4,927.07x = 10,823,989.86
  5. Step 5: Solve for x
    x = 10,823,989.86/4,927.07
  6. Step 6: Final answer
    x = 2,196.84

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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.