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Finding the Fourth Proportional to 5,503.72, 7,597.38 and 3,827.56

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Solution

The fourth proportional to 5,503.72, 7,597.38 and 3,827.56 is: 5,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.72 : 7,597.38 = 3,827.56 : x
  2. Step 2: Convert to fraction form
    5,503.72/7,597.38 = 3,827.56/x
  3. Step 3: Cross multiply
    5,503.72x = 7,597.38 × 3,827.56
  4. Step 4: Simplify right side
    5,503.72x = 29,079,427.79
  5. Step 5: Solve for x
    x = 29,079,427.79/5,503.72
  6. Step 6: Final answer
    x = 5,283.60

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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.