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Finding the Fourth Proportional to 5,208.17, 7,813.41 and 1,510.67

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Solution

The fourth proportional to 5,208.17, 7,813.41 and 1,510.67 is: 2,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.17 : 7,813.41 = 1,510.67 : x
  2. Step 2: Convert to fraction form
    5,208.17/7,813.41 = 1,510.67/x
  3. Step 3: Cross multiply
    5,208.17x = 7,813.41 × 1,510.67
  4. Step 4: Simplify right side
    5,208.17x = 11,803,484.08
  5. Step 5: Solve for x
    x = 11,803,484.08/5,208.17
  6. Step 6: Final answer
    x = 2,266.34

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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.