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Finding the Fourth Proportional to 4,823.46, 6,657.32 and 3,053.81

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Solution

The fourth proportional to 4,823.46, 6,657.32 and 3,053.81 is: 4,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.46 : 6,657.32 = 3,053.81 : x
  2. Step 2: Convert to fraction form
    4,823.46/6,657.32 = 3,053.81/x
  3. Step 3: Cross multiply
    4,823.46x = 6,657.32 × 3,053.81
  4. Step 4: Simplify right side
    4,823.46x = 20,330,214.67
  5. Step 5: Solve for x
    x = 20,330,214.67/4,823.46
  6. Step 6: Final answer
    x = 4,214.86

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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.