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Finding the Fourth Proportional to 4,768,375.86, 6,597,686.46 and 4,157,800.80

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Solution

The fourth proportional to 4,768,375.86, 6,597,686.46 and 4,157,800.80 is: 5,752,874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768,375.86 : 6,597,686.46 = 4,157,800.80 : x
  2. Step 2: Convert to fraction form
    4,768,375.86/6,597,686.46 = 4,157,800.80/x
  3. Step 3: Cross multiply
    4,768,375.86x = 6,597,686.46 × 4,157,800.80
  4. Step 4: Simplify right side
    4,768,375.86x = 27,431,866,041,537.17
  5. Step 5: Solve for x
    x = 27,431,866,041,537.17/4,768,375.86
  6. Step 6: Final answer
    x = 5,752,874.11

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