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Finding the Fourth Proportional to 6,114.61, 8,449.55 and 4,619.89

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Solution

The fourth proportional to 6,114.61, 8,449.55 and 4,619.89 is: 6,384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.61 : 8,449.55 = 4,619.89 : x
  2. Step 2: Convert to fraction form
    6,114.61/8,449.55 = 4,619.89/x
  3. Step 3: Cross multiply
    6,114.61x = 8,449.55 × 4,619.89
  4. Step 4: Simplify right side
    6,114.61x = 39,035,991.55
  5. Step 5: Solve for x
    x = 39,035,991.55/6,114.61
  6. Step 6: Final answer
    x = 6,384.05

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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.