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Finding the Fourth Proportional to 5,992.64, 8,978.01 and 4,345.10

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Solution

The fourth proportional to 5,992.64, 8,978.01 and 4,345.10 is: 6,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.64 : 8,978.01 = 4,345.10 : x
  2. Step 2: Convert to fraction form
    5,992.64/8,978.01 = 4,345.10/x
  3. Step 3: Cross multiply
    5,992.64x = 8,978.01 × 4,345.10
  4. Step 4: Simplify right side
    5,992.64x = 39,010,351.25
  5. Step 5: Solve for x
    x = 39,010,351.25/5,992.64
  6. Step 6: Final answer
    x = 6,509.71

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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.