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Finding the Fourth Proportional to 5,214.74, 7,824.63 and 2,292.66

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Solution

The fourth proportional to 5,214.74, 7,824.63 and 2,292.66 is: 3,440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.74 : 7,824.63 = 2,292.66 : x
  2. Step 2: Convert to fraction form
    5,214.74/7,824.63 = 2,292.66/x
  3. Step 3: Cross multiply
    5,214.74x = 7,824.63 × 2,292.66
  4. Step 4: Simplify right side
    5,214.74x = 17,939,216.22
  5. Step 5: Solve for x
    x = 17,939,216.22/5,214.74
  6. Step 6: Final answer
    x = 3,440.10

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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.