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Finding the Fourth Proportional to 3,644.61, 5,465.81 and 1,011.48

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Solution

The fourth proportional to 3,644.61, 5,465.81 and 1,011.48 is: 1,516.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.61 : 5,465.81 = 1,011.48 : x
  2. Step 2: Convert to fraction form
    3,644.61/5,465.81 = 1,011.48/x
  3. Step 3: Cross multiply
    3,644.61x = 5,465.81 × 1,011.48
  4. Step 4: Simplify right side
    3,644.61x = 5,528,557.50
  5. Step 5: Solve for x
    x = 5,528,557.50/3,644.61
  6. Step 6: Final answer
    x = 1,516.91

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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.