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Finding the Fourth Proportional to 3,314.64, 4,944.02 and 3,085.01

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Solution

The fourth proportional to 3,314.64, 4,944.02 and 3,085.01 is: 4,601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.64 : 4,944.02 = 3,085.01 : x
  2. Step 2: Convert to fraction form
    3,314.64/4,944.02 = 3,085.01/x
  3. Step 3: Cross multiply
    3,314.64x = 4,944.02 × 3,085.01
  4. Step 4: Simplify right side
    3,314.64x = 15,252,351.14
  5. Step 5: Solve for x
    x = 15,252,351.14/3,314.64
  6. Step 6: Final answer
    x = 4,601.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.