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Finding the Fourth Proportional to 5,124.06, 7,690.95 and 3,180.06

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Solution

The fourth proportional to 5,124.06, 7,690.95 and 3,180.06 is: 4,773.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.06 : 7,690.95 = 3,180.06 : x
  2. Step 2: Convert to fraction form
    5,124.06/7,690.95 = 3,180.06/x
  3. Step 3: Cross multiply
    5,124.06x = 7,690.95 × 3,180.06
  4. Step 4: Simplify right side
    5,124.06x = 24,457,682.46
  5. Step 5: Solve for x
    x = 24,457,682.46/5,124.06
  6. Step 6: Final answer
    x = 4,773.11

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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.