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Finding the Fourth Proportional to 3,580, 5,370.18 and 1,271.68

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Solution

The fourth proportional to 3,580, 5,370.18 and 1,271.68 is: 1,907.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580 : 5,370.18 = 1,271.68 : x
  2. Step 2: Convert to fraction form
    3,580/5,370.18 = 1,271.68/x
  3. Step 3: Cross multiply
    3,580x = 5,370.18 × 1,271.68
  4. Step 4: Simplify right side
    3,580x = 6,829,150.50
  5. Step 5: Solve for x
    x = 6,829,150.50/3,580
  6. Step 6: Final answer
    x = 1,907.58

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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.