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Finding the Fourth Proportional to 5,335.85, 8,005.80 and 2,416.20

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Solution

The fourth proportional to 5,335.85, 8,005.80 and 2,416.20 is: 3,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.85 : 8,005.80 = 2,416.20 : x
  2. Step 2: Convert to fraction form
    5,335.85/8,005.80 = 2,416.20/x
  3. Step 3: Cross multiply
    5,335.85x = 8,005.80 × 2,416.20
  4. Step 4: Simplify right side
    5,335.85x = 19,343,613.96
  5. Step 5: Solve for x
    x = 19,343,613.96/5,335.85
  6. Step 6: Final answer
    x = 3,625.22

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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.