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Finding the Fourth Proportional to 3,509.96, 4,843.68 and 1,916.55

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Solution

The fourth proportional to 3,509.96, 4,843.68 and 1,916.55 is: 2,644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.96 : 4,843.68 = 1,916.55 : x
  2. Step 2: Convert to fraction form
    3,509.96/4,843.68 = 1,916.55/x
  3. Step 3: Cross multiply
    3,509.96x = 4,843.68 × 1,916.55
  4. Step 4: Simplify right side
    3,509.96x = 9,283,154.90
  5. Step 5: Solve for x
    x = 9,283,154.90/3,509.96
  6. Step 6: Final answer
    x = 2,644.81

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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.