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Finding the Fourth Proportional to 4,902.84, 7,347.30 and 2,435.22

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Solution

The fourth proportional to 4,902.84, 7,347.30 and 2,435.22 is: 3,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.84 : 7,347.30 = 2,435.22 : x
  2. Step 2: Convert to fraction form
    4,902.84/7,347.30 = 2,435.22/x
  3. Step 3: Cross multiply
    4,902.84x = 7,347.30 × 2,435.22
  4. Step 4: Simplify right side
    4,902.84x = 17,892,291.91
  5. Step 5: Solve for x
    x = 17,892,291.91/4,902.84
  6. Step 6: Final answer
    x = 3,649.37

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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.