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Finding the Fourth Proportional to 5,584.32, 8,378.53 and 4,026.08

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Solution

The fourth proportional to 5,584.32, 8,378.53 and 4,026.08 is: 6,040.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.32 : 8,378.53 = 4,026.08 : x
  2. Step 2: Convert to fraction form
    5,584.32/8,378.53 = 4,026.08/x
  3. Step 3: Cross multiply
    5,584.32x = 8,378.53 × 4,026.08
  4. Step 4: Simplify right side
    5,584.32x = 33,732,642.94
  5. Step 5: Solve for x
    x = 33,732,642.94/5,584.32
  6. Step 6: Final answer
    x = 6,040.60

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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.