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Finding the Fourth Proportional to 5,363.90, 8,045.85 and 4,643.90

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Solution

The fourth proportional to 5,363.90, 8,045.85 and 4,643.90 is: 6,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.90 : 8,045.85 = 4,643.90 : x
  2. Step 2: Convert to fraction form
    5,363.90/8,045.85 = 4,643.90/x
  3. Step 3: Cross multiply
    5,363.90x = 8,045.85 × 4,643.90
  4. Step 4: Simplify right side
    5,363.90x = 37,364,122.82
  5. Step 5: Solve for x
    x = 37,364,122.82/5,363.90
  6. Step 6: Final answer
    x = 6,965.85

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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.