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Finding the Fourth Proportional to 3,416.58, 5,153.28 and 3,010.80

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Solution

The fourth proportional to 3,416.58, 5,153.28 and 3,010.80 is: 4,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.58 : 5,153.28 = 3,010.80 : x
  2. Step 2: Convert to fraction form
    3,416.58/5,153.28 = 3,010.80/x
  3. Step 3: Cross multiply
    3,416.58x = 5,153.28 × 3,010.80
  4. Step 4: Simplify right side
    3,416.58x = 15,515,495.42
  5. Step 5: Solve for x
    x = 15,515,495.42/3,416.58
  6. Step 6: Final answer
    x = 4,541.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.