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Finding the Fourth Proportional to 3,437.56, 5,156.70 and 1,705.72

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Solution

The fourth proportional to 3,437.56, 5,156.70 and 1,705.72 is: 2,558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.56 : 5,156.70 = 1,705.72 : x
  2. Step 2: Convert to fraction form
    3,437.56/5,156.70 = 1,705.72/x
  3. Step 3: Cross multiply
    3,437.56x = 5,156.70 × 1,705.72
  4. Step 4: Simplify right side
    3,437.56x = 8,795,886.32
  5. Step 5: Solve for x
    x = 8,795,886.32/3,437.56
  6. Step 6: Final answer
    x = 2,558.76

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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.