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Finding the Fourth Proportional to 4,649, 6,408.78 and 2,970.20

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Solution

The fourth proportional to 4,649, 6,408.78 and 2,970.20 is: 4,094.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649 : 6,408.78 = 2,970.20 : x
  2. Step 2: Convert to fraction form
    4,649/6,408.78 = 2,970.20/x
  3. Step 3: Cross multiply
    4,649x = 6,408.78 × 2,970.20
  4. Step 4: Simplify right side
    4,649x = 19,035,358.36
  5. Step 5: Solve for x
    x = 19,035,358.36/4,649
  6. Step 6: Final answer
    x = 4,094.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.