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Finding the Fourth Proportional to 4,614.66, 6,353.55 and 4,024.98

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Solution

The fourth proportional to 4,614.66, 6,353.55 and 4,024.98 is: 5,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.66 : 6,353.55 = 4,024.98 : x
  2. Step 2: Convert to fraction form
    4,614.66/6,353.55 = 4,024.98/x
  3. Step 3: Cross multiply
    4,614.66x = 6,353.55 × 4,024.98
  4. Step 4: Simplify right side
    4,614.66x = 25,572,911.68
  5. Step 5: Solve for x
    x = 25,572,911.68/4,614.66
  6. Step 6: Final answer
    x = 5,541.67

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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.