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Finding the Fourth Proportional to 4,405.78, 6,080.10 and 2,416.47

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Solution

The fourth proportional to 4,405.78, 6,080.10 and 2,416.47 is: 3,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,405.78 : 6,080.10 = 2,416.47 : x
  2. Step 2: Convert to fraction form
    4,405.78/6,080.10 = 2,416.47/x
  3. Step 3: Cross multiply
    4,405.78x = 6,080.10 × 2,416.47
  4. Step 4: Simplify right side
    4,405.78x = 14,692,379.25
  5. Step 5: Solve for x
    x = 14,692,379.25/4,405.78
  6. Step 6: Final answer
    x = 3,334.80

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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.