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Finding the Fourth Proportional to 5,384.68, 8,077.10 and 3,547.56

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Solution

The fourth proportional to 5,384.68, 8,077.10 and 3,547.56 is: 5,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.68 : 8,077.10 = 3,547.56 : x
  2. Step 2: Convert to fraction form
    5,384.68/8,077.10 = 3,547.56/x
  3. Step 3: Cross multiply
    5,384.68x = 8,077.10 × 3,547.56
  4. Step 4: Simplify right side
    5,384.68x = 28,653,996.88
  5. Step 5: Solve for x
    x = 28,653,996.88/5,384.68
  6. Step 6: Final answer
    x = 5,321.39

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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.