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Finding the Fourth Proportional to 3,916.66, 5,405.86 and 3,064.23

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Solution

The fourth proportional to 3,916.66, 5,405.86 and 3,064.23 is: 4,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.66 : 5,405.86 = 3,064.23 : x
  2. Step 2: Convert to fraction form
    3,916.66/5,405.86 = 3,064.23/x
  3. Step 3: Cross multiply
    3,916.66x = 5,405.86 × 3,064.23
  4. Step 4: Simplify right side
    3,916.66x = 16,564,798.39
  5. Step 5: Solve for x
    x = 16,564,798.39/3,916.66
  6. Step 6: Final answer
    x = 4,229.32

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1.5x scale

Why These Related Problems?

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