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Finding the Fourth Proportional to 4,572, 6,858 and 1,109.25

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Solution

The fourth proportional to 4,572, 6,858 and 1,109.25 is: 1,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572 : 6,858 = 1,109.25 : x
  2. Step 2: Convert to fraction form
    4,572/6,858 = 1,109.25/x
  3. Step 3: Cross multiply
    4,572x = 6,858 × 1,109.25
  4. Step 4: Simplify right side
    4,572x = 7,607,236.50
  5. Step 5: Solve for x
    x = 7,607,236.50/4,572
  6. Step 6: Final answer
    x = 1,663.88

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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.