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Finding the Fourth Proportional to 4,684.24, 6,464.94 and 2,916.40

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Solution

The fourth proportional to 4,684.24, 6,464.94 and 2,916.40 is: 4,025.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.24 : 6,464.94 = 2,916.40 : x
  2. Step 2: Convert to fraction form
    4,684.24/6,464.94 = 2,916.40/x
  3. Step 3: Cross multiply
    4,684.24x = 6,464.94 × 2,916.40
  4. Step 4: Simplify right side
    4,684.24x = 18,854,351.02
  5. Step 5: Solve for x
    x = 18,854,351.02/4,684.24
  6. Step 6: Final answer
    x = 4,025.06

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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.