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Finding the Fourth Proportional to 3,546, 5,320.10 and 1,237.52

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Solution

The fourth proportional to 3,546, 5,320.10 and 1,237.52 is: 1,856.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546 : 5,320.10 = 1,237.52 : x
  2. Step 2: Convert to fraction form
    3,546/5,320.10 = 1,237.52/x
  3. Step 3: Cross multiply
    3,546x = 5,320.10 × 1,237.52
  4. Step 4: Simplify right side
    3,546x = 6,583,730.15
  5. Step 5: Solve for x
    x = 6,583,730.15/3,546
  6. Step 6: Final answer
    x = 1,856.66

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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.