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Finding the Fourth Proportional to 5,544.64, 7,642.80 and 4,364.16

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Solution

The fourth proportional to 5,544.64, 7,642.80 and 4,364.16 is: 6,015.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,544.64 : 7,642.80 = 4,364.16 : x
  2. Step 2: Convert to fraction form
    5,544.64/7,642.80 = 4,364.16/x
  3. Step 3: Cross multiply
    5,544.64x = 7,642.80 × 4,364.16
  4. Step 4: Simplify right side
    5,544.64x = 33,354,402.05
  5. Step 5: Solve for x
    x = 33,354,402.05/5,544.64
  6. Step 6: Final answer
    x = 6,015.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.