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Finding the Fourth Proportional to 3,509.60, 4,843.14 and 1,916.21

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Solution

The fourth proportional to 3,509.60, 4,843.14 and 1,916.21 is: 2,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.60 : 4,843.14 = 1,916.21 : x
  2. Step 2: Convert to fraction form
    3,509.60/4,843.14 = 1,916.21/x
  3. Step 3: Cross multiply
    3,509.60x = 4,843.14 × 1,916.21
  4. Step 4: Simplify right side
    3,509.60x = 9,280,461.76
  5. Step 5: Solve for x
    x = 9,280,461.76/3,509.60
  6. Step 6: Final answer
    x = 2,644.30

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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.