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Finding the Fourth Proportional to 5,213.12, 7,780.53 and 4,507.21

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Solution

The fourth proportional to 5,213.12, 7,780.53 and 4,507.21 is: 6,726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.12 : 7,780.53 = 4,507.21 : x
  2. Step 2: Convert to fraction form
    5,213.12/7,780.53 = 4,507.21/x
  3. Step 3: Cross multiply
    5,213.12x = 7,780.53 × 4,507.21
  4. Step 4: Simplify right side
    5,213.12x = 35,068,421.18
  5. Step 5: Solve for x
    x = 35,068,421.18/5,213.12
  6. Step 6: Final answer
    x = 6,726.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.