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Finding the Fourth Proportional to 5,214.68, 7,811.93 and 2,899.16

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Solution

The fourth proportional to 5,214.68, 7,811.93 and 2,899.16 is: 4,343.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.68 : 7,811.93 = 2,899.16 : x
  2. Step 2: Convert to fraction form
    5,214.68/7,811.93 = 2,899.16/x
  3. Step 3: Cross multiply
    5,214.68x = 7,811.93 × 2,899.16
  4. Step 4: Simplify right side
    5,214.68x = 22,648,003.17
  5. Step 5: Solve for x
    x = 22,648,003.17/5,214.68
  6. Step 6: Final answer
    x = 4,343.13

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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.