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Finding the Fourth Proportional to 4,643.08, 6,964.54 and 1,869.68

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Solution

The fourth proportional to 4,643.08, 6,964.54 and 1,869.68 is: 2,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.08 : 6,964.54 = 1,869.68 : x
  2. Step 2: Convert to fraction form
    4,643.08/6,964.54 = 1,869.68/x
  3. Step 3: Cross multiply
    4,643.08x = 6,964.54 × 1,869.68
  4. Step 4: Simplify right side
    4,643.08x = 13,021,473.88
  5. Step 5: Solve for x
    x = 13,021,473.88/4,643.08
  6. Step 6: Final answer
    x = 2,804.49

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Why These Related Problems?

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