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Finding the Fourth Proportional to 4,015.50, 5,547.50 and 3,209.70

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Solution

The fourth proportional to 4,015.50, 5,547.50 and 3,209.70 is: 4,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,015.50 : 5,547.50 = 3,209.70 : x
  2. Step 2: Convert to fraction form
    4,015.50/5,547.50 = 3,209.70/x
  3. Step 3: Cross multiply
    4,015.50x = 5,547.50 × 3,209.70
  4. Step 4: Simplify right side
    4,015.50x = 17,805,810.75
  5. Step 5: Solve for x
    x = 17,805,810.75/4,015.50
  6. Step 6: Final answer
    x = 4,434.27

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