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Finding the Fourth Proportional to 4,977.24, 7,466.52 and 3,809.46

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Solution

The fourth proportional to 4,977.24, 7,466.52 and 3,809.46 is: 5,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.24 : 7,466.52 = 3,809.46 : x
  2. Step 2: Convert to fraction form
    4,977.24/7,466.52 = 3,809.46/x
  3. Step 3: Cross multiply
    4,977.24x = 7,466.52 × 3,809.46
  4. Step 4: Simplify right side
    4,977.24x = 28,443,409.28
  5. Step 5: Solve for x
    x = 28,443,409.28/4,977.24
  6. Step 6: Final answer
    x = 5,714.70

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1.5x scale

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.