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Finding the Fourth Proportional to 5,477.30, 8,215.95 and 5,315.30

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Solution

The fourth proportional to 5,477.30, 8,215.95 and 5,315.30 is: 7,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.30 : 8,215.95 = 5,315.30 : x
  2. Step 2: Convert to fraction form
    5,477.30/8,215.95 = 5,315.30/x
  3. Step 3: Cross multiply
    5,477.30x = 8,215.95 × 5,315.30
  4. Step 4: Simplify right side
    5,477.30x = 43,670,239.04
  5. Step 5: Solve for x
    x = 43,670,239.04/5,477.30
  6. Step 6: Final answer
    x = 7,972.95

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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.