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Finding the Fourth Proportional to 4,609.06, 6,913.35 and 1,489.02

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Solution

The fourth proportional to 4,609.06, 6,913.35 and 1,489.02 is: 2,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.06 : 6,913.35 = 1,489.02 : x
  2. Step 2: Convert to fraction form
    4,609.06/6,913.35 = 1,489.02/x
  3. Step 3: Cross multiply
    4,609.06x = 6,913.35 × 1,489.02
  4. Step 4: Simplify right side
    4,609.06x = 10,294,116.42
  5. Step 5: Solve for x
    x = 10,294,116.42/4,609.06
  6. Step 6: Final answer
    x = 2,233.45

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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.