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Finding the Fourth Proportional to 4,767.96, 7,156.05 and 4,148.77

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Solution

The fourth proportional to 4,767.96, 7,156.05 and 4,148.77 is: 6,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.96 : 7,156.05 = 4,148.77 : x
  2. Step 2: Convert to fraction form
    4,767.96/7,156.05 = 4,148.77/x
  3. Step 3: Cross multiply
    4,767.96x = 7,156.05 × 4,148.77
  4. Step 4: Simplify right side
    4,767.96x = 29,688,785.53
  5. Step 5: Solve for x
    x = 29,688,785.53/4,767.96
  6. Step 6: Final answer
    x = 6,226.72

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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.