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Finding the Fourth Proportional to 5,407.85, 7,462.87 and 3,018.05

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Solution

The fourth proportional to 5,407.85, 7,462.87 and 3,018.05 is: 4,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.85 : 7,462.87 = 3,018.05 : x
  2. Step 2: Convert to fraction form
    5,407.85/7,462.87 = 3,018.05/x
  3. Step 3: Cross multiply
    5,407.85x = 7,462.87 × 3,018.05
  4. Step 4: Simplify right side
    5,407.85x = 22,523,299.71
  5. Step 5: Solve for x
    x = 22,523,299.71/5,407.85
  6. Step 6: Final answer
    x = 4,164.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.