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Finding the Fourth Proportional to 4,271.04, 6,404.70 and 1,349.58

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Solution

The fourth proportional to 4,271.04, 6,404.70 and 1,349.58 is: 2,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.04 : 6,404.70 = 1,349.58 : x
  2. Step 2: Convert to fraction form
    4,271.04/6,404.70 = 1,349.58/x
  3. Step 3: Cross multiply
    4,271.04x = 6,404.70 × 1,349.58
  4. Step 4: Simplify right side
    4,271.04x = 8,643,655.03
  5. Step 5: Solve for x
    x = 8,643,655.03/4,271.04
  6. Step 6: Final answer
    x = 2,023.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.