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Finding the Fourth Proportional to 5,340.64, 7,999.24 and 4,405.68

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Solution

The fourth proportional to 5,340.64, 7,999.24 and 4,405.68 is: 6,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.64 : 7,999.24 = 4,405.68 : x
  2. Step 2: Convert to fraction form
    5,340.64/7,999.24 = 4,405.68/x
  3. Step 3: Cross multiply
    5,340.64x = 7,999.24 × 4,405.68
  4. Step 4: Simplify right side
    5,340.64x = 35,242,091.68
  5. Step 5: Solve for x
    x = 35,242,091.68/5,340.64
  6. Step 6: Final answer
    x = 6,598.85

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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.