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Finding the Fourth Proportional to 4,653.92, 6,419.96 and 3,533

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Solution

The fourth proportional to 4,653.92, 6,419.96 and 3,533 is: 4,873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.92 : 6,419.96 = 3,533 : x
  2. Step 2: Convert to fraction form
    4,653.92/6,419.96 = 3,533/x
  3. Step 3: Cross multiply
    4,653.92x = 6,419.96 × 3,533
  4. Step 4: Simplify right side
    4,653.92x = 22,681,718.68
  5. Step 5: Solve for x
    x = 22,681,718.68/4,653.92
  6. Step 6: Final answer
    x = 4,873.68

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Why These Related Problems?

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