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Finding the Fourth Proportional to 5,099.68, 7,641.36 and 4,316.40

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Solution

The fourth proportional to 5,099.68, 7,641.36 and 4,316.40 is: 6,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.68 : 7,641.36 = 4,316.40 : x
  2. Step 2: Convert to fraction form
    5,099.68/7,641.36 = 4,316.40/x
  3. Step 3: Cross multiply
    5,099.68x = 7,641.36 × 4,316.40
  4. Step 4: Simplify right side
    5,099.68x = 32,983,166.30
  5. Step 5: Solve for x
    x = 32,983,166.30/5,099.68
  6. Step 6: Final answer
    x = 6,467.69

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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.