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Finding the Fourth Proportional to 4,710.93, 6,500.88 and 2,823.57

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Solution

The fourth proportional to 4,710.93, 6,500.88 and 2,823.57 is: 3,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.93 : 6,500.88 = 2,823.57 : x
  2. Step 2: Convert to fraction form
    4,710.93/6,500.88 = 2,823.57/x
  3. Step 3: Cross multiply
    4,710.93x = 6,500.88 × 2,823.57
  4. Step 4: Simplify right side
    4,710.93x = 18,355,647.82
  5. Step 5: Solve for x
    x = 18,355,647.82/4,710.93
  6. Step 6: Final answer
    x = 3,896.39

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Why These Related Problems?

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