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Finding the Fourth Proportional to 4,274.40, 6,404.04 and 2,969.76

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Solution

The fourth proportional to 4,274.40, 6,404.04 and 2,969.76 is: 4,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.40 : 6,404.04 = 2,969.76 : x
  2. Step 2: Convert to fraction form
    4,274.40/6,404.04 = 2,969.76/x
  3. Step 3: Cross multiply
    4,274.40x = 6,404.04 × 2,969.76
  4. Step 4: Simplify right side
    4,274.40x = 19,018,461.83
  5. Step 5: Solve for x
    x = 19,018,461.83/4,274.40
  6. Step 6: Final answer
    x = 4,449.39

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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.