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Finding the Fourth Proportional to 3,509.30, 5,259.30 and 1,315.82

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Solution

The fourth proportional to 3,509.30, 5,259.30 and 1,315.82 is: 1,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.30 : 5,259.30 = 1,315.82 : x
  2. Step 2: Convert to fraction form
    3,509.30/5,259.30 = 1,315.82/x
  3. Step 3: Cross multiply
    3,509.30x = 5,259.30 × 1,315.82
  4. Step 4: Simplify right side
    3,509.30x = 6,920,292.13
  5. Step 5: Solve for x
    x = 6,920,292.13/3,509.30
  6. Step 6: Final answer
    x = 1,971.99

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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.