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Finding the Fourth Proportional to 5,012.77, 7,519.40 and 1,315.00

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Solution

The fourth proportional to 5,012.77, 7,519.40 and 1,315.00 is: 1,972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.77 : 7,519.40 = 1,315.00 : x
  2. Step 2: Convert to fraction form
    5,012.77/7,519.40 = 1,315.00/x
  3. Step 3: Cross multiply
    5,012.77x = 7,519.40 × 1,315.00
  4. Step 4: Simplify right side
    5,012.77x = 9,888,023.22
  5. Step 5: Solve for x
    x = 9,888,023.22/5,012.77
  6. Step 6: Final answer
    x = 1,972.57

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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.