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Finding the Fourth Proportional to 4,504.80, 5,977.56 and 4,504.80

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Solution

The fourth proportional to 4,504.80, 5,977.56 and 4,504.80 is: 5,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,504.80 : 5,977.56 = 4,504.80 : x
  2. Step 2: Convert to fraction form
    4,504.80/5,977.56 = 4,504.80/x
  3. Step 3: Cross multiply
    4,504.80x = 5,977.56 × 4,504.80
  4. Step 4: Simplify right side
    4,504.80x = 26,927,712.29
  5. Step 5: Solve for x
    x = 26,927,712.29/4,504.80
  6. Step 6: Final answer
    x = 5,977.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.