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Finding the Fourth Proportional to 5,563.84, 8,354.40 and 5,054.08

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Solution

The fourth proportional to 5,563.84, 8,354.40 and 5,054.08 is: 7,588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.84 : 8,354.40 = 5,054.08 : x
  2. Step 2: Convert to fraction form
    5,563.84/8,354.40 = 5,054.08/x
  3. Step 3: Cross multiply
    5,563.84x = 8,354.40 × 5,054.08
  4. Step 4: Simplify right side
    5,563.84x = 42,223,805.95
  5. Step 5: Solve for x
    x = 42,223,805.95/5,563.84
  6. Step 6: Final answer
    x = 7,588.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.