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Finding the Fourth Proportional to 3,485.32, 5,225.58 and 1,753

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Solution

The fourth proportional to 3,485.32, 5,225.58 and 1,753 is: 2,628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.32 : 5,225.58 = 1,753 : x
  2. Step 2: Convert to fraction form
    3,485.32/5,225.58 = 1,753/x
  3. Step 3: Cross multiply
    3,485.32x = 5,225.58 × 1,753
  4. Step 4: Simplify right side
    3,485.32x = 9,160,441.74
  5. Step 5: Solve for x
    x = 9,160,441.74/3,485.32
  6. Step 6: Final answer
    x = 2,628.29

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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.