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Finding the Fourth Proportional to 4,811.96, 6,641.24 and 3,485.16

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Solution

The fourth proportional to 4,811.96, 6,641.24 and 3,485.16 is: 4,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.96 : 6,641.24 = 3,485.16 : x
  2. Step 2: Convert to fraction form
    4,811.96/6,641.24 = 3,485.16/x
  3. Step 3: Cross multiply
    4,811.96x = 6,641.24 × 3,485.16
  4. Step 4: Simplify right side
    4,811.96x = 23,145,784.00
  5. Step 5: Solve for x
    x = 23,145,784.00/4,811.96
  6. Step 6: Final answer
    x = 4,810.05

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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.