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Finding the Fourth Proportional to 4,395.74, 6,065.08 and 3,214.76

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Solution

The fourth proportional to 4,395.74, 6,065.08 and 3,214.76 is: 4,435.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,395.74 : 6,065.08 = 3,214.76 : x
  2. Step 2: Convert to fraction form
    4,395.74/6,065.08 = 3,214.76/x
  3. Step 3: Cross multiply
    4,395.74x = 6,065.08 × 3,214.76
  4. Step 4: Simplify right side
    4,395.74x = 19,497,738.22
  5. Step 5: Solve for x
    x = 19,497,738.22/4,395.74
  6. Step 6: Final answer
    x = 4,435.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.