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Finding the Fourth Proportional to 4,546, 6,820.08 and 1,468

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Solution

The fourth proportional to 4,546, 6,820.08 and 1,468 is: 2,202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546 : 6,820.08 = 1,468 : x
  2. Step 2: Convert to fraction form
    4,546/6,820.08 = 1,468/x
  3. Step 3: Cross multiply
    4,546x = 6,820.08 × 1,468
  4. Step 4: Simplify right side
    4,546x = 10,011,877.44
  5. Step 5: Solve for x
    x = 10,011,877.44/4,546
  6. Step 6: Final answer
    x = 2,202.35

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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.