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Finding the Fourth Proportional to 4,800.16, 6,627.24 and 3,678.98

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Solution

The fourth proportional to 4,800.16, 6,627.24 and 3,678.98 is: 5,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.16 : 6,627.24 = 3,678.98 : x
  2. Step 2: Convert to fraction form
    4,800.16/6,627.24 = 3,678.98/x
  3. Step 3: Cross multiply
    4,800.16x = 6,627.24 × 3,678.98
  4. Step 4: Simplify right side
    4,800.16x = 24,381,465.02
  5. Step 5: Solve for x
    x = 24,381,465.02/4,800.16
  6. Step 6: Final answer
    x = 5,079.31

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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.