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Finding the Fourth Proportional to 3,507.65, 5,259.94 and 1,314.85

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Solution

The fourth proportional to 3,507.65, 5,259.94 and 1,314.85 is: 1,971.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.65 : 5,259.94 = 1,314.85 : x
  2. Step 2: Convert to fraction form
    3,507.65/5,259.94 = 1,314.85/x
  3. Step 3: Cross multiply
    3,507.65x = 5,259.94 × 1,314.85
  4. Step 4: Simplify right side
    3,507.65x = 6,916,015.67
  5. Step 5: Solve for x
    x = 6,916,015.67/3,507.65
  6. Step 6: Final answer
    x = 1,971.69

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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.