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Finding the Fourth Proportional to 4,284.39, 6,427.02 and 1,164.45

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Solution

The fourth proportional to 4,284.39, 6,427.02 and 1,164.45 is: 1,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.39 : 6,427.02 = 1,164.45 : x
  2. Step 2: Convert to fraction form
    4,284.39/6,427.02 = 1,164.45/x
  3. Step 3: Cross multiply
    4,284.39x = 6,427.02 × 1,164.45
  4. Step 4: Simplify right side
    4,284.39x = 7,483,943.44
  5. Step 5: Solve for x
    x = 7,483,943.44/4,284.39
  6. Step 6: Final answer
    x = 1,746.79

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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.