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Finding the Fourth Proportional to 4,810.68, 6,641.46 and 4,285.80

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Solution

The fourth proportional to 4,810.68, 6,641.46 and 4,285.80 is: 5,916.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.68 : 6,641.46 = 4,285.80 : x
  2. Step 2: Convert to fraction form
    4,810.68/6,641.46 = 4,285.80/x
  3. Step 3: Cross multiply
    4,810.68x = 6,641.46 × 4,285.80
  4. Step 4: Simplify right side
    4,810.68x = 28,463,969.27
  5. Step 5: Solve for x
    x = 28,463,969.27/4,810.68
  6. Step 6: Final answer
    x = 5,916.83

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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.