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Finding the Fourth Proportional to 4,473.81, 6,708.99 and 1,699.02

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Solution

The fourth proportional to 4,473.81, 6,708.99 and 1,699.02 is: 2,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.81 : 6,708.99 = 1,699.02 : x
  2. Step 2: Convert to fraction form
    4,473.81/6,708.99 = 1,699.02/x
  3. Step 3: Cross multiply
    4,473.81x = 6,708.99 × 1,699.02
  4. Step 4: Simplify right side
    4,473.81x = 11,398,708.19
  5. Step 5: Solve for x
    x = 11,398,708.19/4,473.81
  6. Step 6: Final answer
    x = 2,547.87

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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.