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Finding the Fourth Proportional to 5,531.51, 7,643.19 and 4,421.61

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Solution

The fourth proportional to 5,531.51, 7,643.19 and 4,421.61 is: 6,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.51 : 7,643.19 = 4,421.61 : x
  2. Step 2: Convert to fraction form
    5,531.51/7,643.19 = 4,421.61/x
  3. Step 3: Cross multiply
    5,531.51x = 7,643.19 × 4,421.61
  4. Step 4: Simplify right side
    5,531.51x = 33,795,205.34
  5. Step 5: Solve for x
    x = 33,795,205.34/5,531.51
  6. Step 6: Final answer
    x = 6,109.59

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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.