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Finding the Fourth Proportional to 5,603.19, 7,733.62 and 3,213.55

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Solution

The fourth proportional to 5,603.19, 7,733.62 and 3,213.55 is: 4,435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.19 : 7,733.62 = 3,213.55 : x
  2. Step 2: Convert to fraction form
    5,603.19/7,733.62 = 3,213.55/x
  3. Step 3: Cross multiply
    5,603.19x = 7,733.62 × 3,213.55
  4. Step 4: Simplify right side
    5,603.19x = 24,852,374.55
  5. Step 5: Solve for x
    x = 24,852,374.55/5,603.19
  6. Step 6: Final answer
    x = 4,435.40

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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.