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Finding the Fourth Proportional to 3,583.72, 5,377.65 and 1,503.53

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Solution

The fourth proportional to 3,583.72, 5,377.65 and 1,503.53 is: 2,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.72 : 5,377.65 = 1,503.53 : x
  2. Step 2: Convert to fraction form
    3,583.72/5,377.65 = 1,503.53/x
  3. Step 3: Cross multiply
    3,583.72x = 5,377.65 × 1,503.53
  4. Step 4: Simplify right side
    3,583.72x = 8,085,450.59
  5. Step 5: Solve for x
    x = 8,085,450.59/3,583.72
  6. Step 6: Final answer
    x = 2,256.16

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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.