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Finding the Fourth Proportional to 4,977.56, 7,466.34 and 4,649.48

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Solution

The fourth proportional to 4,977.56, 7,466.34 and 4,649.48 is: 6,974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.56 : 7,466.34 = 4,649.48 : x
  2. Step 2: Convert to fraction form
    4,977.56/7,466.34 = 4,649.48/x
  3. Step 3: Cross multiply
    4,977.56x = 7,466.34 × 4,649.48
  4. Step 4: Simplify right side
    4,977.56x = 34,714,598.50
  5. Step 5: Solve for x
    x = 34,714,598.50/4,977.56
  6. Step 6: Final answer
    x = 6,974.22

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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.