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Finding the Fourth Proportional to 5,340.64, 7,999.26 and 4,405.66

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Solution

The fourth proportional to 5,340.64, 7,999.26 and 4,405.66 is: 6,598.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.64 : 7,999.26 = 4,405.66 : x
  2. Step 2: Convert to fraction form
    5,340.64/7,999.26 = 4,405.66/x
  3. Step 3: Cross multiply
    5,340.64x = 7,999.26 × 4,405.66
  4. Step 4: Simplify right side
    5,340.64x = 35,242,019.81
  5. Step 5: Solve for x
    x = 35,242,019.81/5,340.64
  6. Step 6: Final answer
    x = 6,598.84

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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.