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Finding the Fourth Proportional to 3,225.42, 4,838.02 and 916.92

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Solution

The fourth proportional to 3,225.42, 4,838.02 and 916.92 is: 1,375.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.42 : 4,838.02 = 916.92 : x
  2. Step 2: Convert to fraction form
    3,225.42/4,838.02 = 916.92/x
  3. Step 3: Cross multiply
    3,225.42x = 4,838.02 × 916.92
  4. Step 4: Simplify right side
    3,225.42x = 4,436,053.11
  5. Step 5: Solve for x
    x = 4,436,053.11/3,225.42
  6. Step 6: Final answer
    x = 1,375.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.