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Finding the Fourth Proportional to 3,430.14, 4,722.14 and 3,273.42

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Solution

The fourth proportional to 3,430.14, 4,722.14 and 3,273.42 is: 4,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.14 : 4,722.14 = 3,273.42 : x
  2. Step 2: Convert to fraction form
    3,430.14/4,722.14 = 3,273.42/x
  3. Step 3: Cross multiply
    3,430.14x = 4,722.14 × 3,273.42
  4. Step 4: Simplify right side
    3,430.14x = 15,457,547.52
  5. Step 5: Solve for x
    x = 15,457,547.52/3,430.14
  6. Step 6: Final answer
    x = 4,506.39

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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.