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Finding the Fourth Proportional to 4,766.76, 7,115.33 and 4,415.00

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Solution

The fourth proportional to 4,766.76, 7,115.33 and 4,415.00 is: 6,590.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.76 : 7,115.33 = 4,415.00 : x
  2. Step 2: Convert to fraction form
    4,766.76/7,115.33 = 4,415.00/x
  3. Step 3: Cross multiply
    4,766.76x = 7,115.33 × 4,415.00
  4. Step 4: Simplify right side
    4,766.76x = 31,414,124.30
  5. Step 5: Solve for x
    x = 31,414,124.30/4,766.76
  6. Step 6: Final answer
    x = 6,590.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.