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Finding the Fourth Proportional to 3,693.42, 5,541.17 and 1,503.72

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Solution

The fourth proportional to 3,693.42, 5,541.17 and 1,503.72 is: 2,256.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.42 : 5,541.17 = 1,503.72 : x
  2. Step 2: Convert to fraction form
    3,693.42/5,541.17 = 1,503.72/x
  3. Step 3: Cross multiply
    3,693.42x = 5,541.17 × 1,503.72
  4. Step 4: Simplify right side
    3,693.42x = 8,332,360.63
  5. Step 5: Solve for x
    x = 8,332,360.63/3,693.42
  6. Step 6: Final answer
    x = 2,256.00

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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.