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Finding the Fourth Proportional to 4,686.26, 6,465.42 and 2,916.41

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Solution

The fourth proportional to 4,686.26, 6,465.42 and 2,916.41 is: 4,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.26 : 6,465.42 = 2,916.41 : x
  2. Step 2: Convert to fraction form
    4,686.26/6,465.42 = 2,916.41/x
  3. Step 3: Cross multiply
    4,686.26x = 6,465.42 × 2,916.41
  4. Step 4: Simplify right side
    4,686.26x = 18,855,783.22
  5. Step 5: Solve for x
    x = 18,855,783.22/4,686.26
  6. Step 6: Final answer
    x = 4,023.64

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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.