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Finding the Fourth Proportional to 4,653.06, 6,977.70 and 3,020.10

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Solution

The fourth proportional to 4,653.06, 6,977.70 and 3,020.10 is: 4,528.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.06 : 6,977.70 = 3,020.10 : x
  2. Step 2: Convert to fraction form
    4,653.06/6,977.70 = 3,020.10/x
  3. Step 3: Cross multiply
    4,653.06x = 6,977.70 × 3,020.10
  4. Step 4: Simplify right side
    4,653.06x = 21,073,351.77
  5. Step 5: Solve for x
    x = 21,073,351.77/4,653.06
  6. Step 6: Final answer
    x = 4,528.92

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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.