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Finding the Fourth Proportional to 5,046.66, 7,570.89 and 2,085.10

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Solution

The fourth proportional to 5,046.66, 7,570.89 and 2,085.10 is: 3,128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.66 : 7,570.89 = 2,085.10 : x
  2. Step 2: Convert to fraction form
    5,046.66/7,570.89 = 2,085.10/x
  3. Step 3: Cross multiply
    5,046.66x = 7,570.89 × 2,085.10
  4. Step 4: Simplify right side
    5,046.66x = 15,786,062.74
  5. Step 5: Solve for x
    x = 15,786,062.74/5,046.66
  6. Step 6: Final answer
    x = 3,128.02

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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.