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Finding the Fourth Proportional to 5,158.46, 7,730.13 and 3,204.74

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Solution

The fourth proportional to 5,158.46, 7,730.13 and 3,204.74 is: 4,802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.46 : 7,730.13 = 3,204.74 : x
  2. Step 2: Convert to fraction form
    5,158.46/7,730.13 = 3,204.74/x
  3. Step 3: Cross multiply
    5,158.46x = 7,730.13 × 3,204.74
  4. Step 4: Simplify right side
    5,158.46x = 24,773,056.82
  5. Step 5: Solve for x
    x = 24,773,056.82/5,158.46
  6. Step 6: Final answer
    x = 4,802.41

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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.