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Finding the Fourth Proportional to 4,270.16, 5,895.24 and 3,803.60

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Solution

The fourth proportional to 4,270.16, 5,895.24 and 3,803.60 is: 5,251.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.16 : 5,895.24 = 3,803.60 : x
  2. Step 2: Convert to fraction form
    4,270.16/5,895.24 = 3,803.60/x
  3. Step 3: Cross multiply
    4,270.16x = 5,895.24 × 3,803.60
  4. Step 4: Simplify right side
    4,270.16x = 22,423,134.86
  5. Step 5: Solve for x
    x = 22,423,134.86/4,270.16
  6. Step 6: Final answer
    x = 5,251.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.