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Finding the Fourth Proportional to 5,547.50, 7,655.75 and 3,311.09

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Solution

The fourth proportional to 5,547.50, 7,655.75 and 3,311.09 is: 4,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.50 : 7,655.75 = 3,311.09 : x
  2. Step 2: Convert to fraction form
    5,547.50/7,655.75 = 3,311.09/x
  3. Step 3: Cross multiply
    5,547.50x = 7,655.75 × 3,311.09
  4. Step 4: Simplify right side
    5,547.50x = 25,348,877.27
  5. Step 5: Solve for x
    x = 25,348,877.27/5,547.50
  6. Step 6: Final answer
    x = 4,569.42

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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.