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Finding the Fourth Proportional to 3,485.25, 4,810.05 and 2,088

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Solution

The fourth proportional to 3,485.25, 4,810.05 and 2,088 is: 2,881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.25 : 4,810.05 = 2,088 : x
  2. Step 2: Convert to fraction form
    3,485.25/4,810.05 = 2,088/x
  3. Step 3: Cross multiply
    3,485.25x = 4,810.05 × 2,088
  4. Step 4: Simplify right side
    3,485.25x = 10,043,384.40
  5. Step 5: Solve for x
    x = 10,043,384.40/3,485.25
  6. Step 6: Final answer
    x = 2,881.68

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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.