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Finding the Fourth Proportional to 5,328.82, 7,354 and 3,090.24

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Solution

The fourth proportional to 5,328.82, 7,354 and 3,090.24 is: 4,264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,328.82 : 7,354 = 3,090.24 : x
  2. Step 2: Convert to fraction form
    5,328.82/7,354 = 3,090.24/x
  3. Step 3: Cross multiply
    5,328.82x = 7,354 × 3,090.24
  4. Step 4: Simplify right side
    5,328.82x = 22,725,624.96
  5. Step 5: Solve for x
    x = 22,725,624.96/5,328.82
  6. Step 6: Final answer
    x = 4,264.66

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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.