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Finding the Fourth Proportional to 6,005.60, 8,997.60 and 5,141.60

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Solution

The fourth proportional to 6,005.60, 8,997.60 and 5,141.60 is: 7,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.60 : 8,997.60 = 5,141.60 : x
  2. Step 2: Convert to fraction form
    6,005.60/8,997.60 = 5,141.60/x
  3. Step 3: Cross multiply
    6,005.60x = 8,997.60 × 5,141.60
  4. Step 4: Simplify right side
    6,005.60x = 46,262,060.16
  5. Step 5: Solve for x
    x = 46,262,060.16/6,005.60
  6. Step 6: Final answer
    x = 7,703.15

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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.