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Finding the Fourth Proportional to 4,216.54, 5,818.80 and 2,328.24

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Solution

The fourth proportional to 4,216.54, 5,818.80 and 2,328.24 is: 3,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.54 : 5,818.80 = 2,328.24 : x
  2. Step 2: Convert to fraction form
    4,216.54/5,818.80 = 2,328.24/x
  3. Step 3: Cross multiply
    4,216.54x = 5,818.80 × 2,328.24
  4. Step 4: Simplify right side
    4,216.54x = 13,547,589.10
  5. Step 5: Solve for x
    x = 13,547,589.10/4,216.54
  6. Step 6: Final answer
    x = 3,212.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.