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Finding the Fourth Proportional to 3,347.40, 5,025.70 and 1,705.06

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Solution

The fourth proportional to 3,347.40, 5,025.70 and 1,705.06 is: 2,559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.40 : 5,025.70 = 1,705.06 : x
  2. Step 2: Convert to fraction form
    3,347.40/5,025.70 = 1,705.06/x
  3. Step 3: Cross multiply
    3,347.40x = 5,025.70 × 1,705.06
  4. Step 4: Simplify right side
    3,347.40x = 8,569,120.04
  5. Step 5: Solve for x
    x = 8,569,120.04/3,347.40
  6. Step 6: Final answer
    x = 2,559.93

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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.