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Finding the Fourth Proportional to 5,728.88, 8,580.32 and 4,692.08

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Solution

The fourth proportional to 5,728.88, 8,580.32 and 4,692.08 is: 7,027.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.88 : 8,580.32 = 4,692.08 : x
  2. Step 2: Convert to fraction form
    5,728.88/8,580.32 = 4,692.08/x
  3. Step 3: Cross multiply
    5,728.88x = 8,580.32 × 4,692.08
  4. Step 4: Simplify right side
    5,728.88x = 40,259,547.87
  5. Step 5: Solve for x
    x = 40,259,547.87/5,728.88
  6. Step 6: Final answer
    x = 7,027.47

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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.