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Finding the Fourth Proportional to 3,046.57, 4,570.34 and 1,291.58

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Solution

The fourth proportional to 3,046.57, 4,570.34 and 1,291.58 is: 1,937.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.57 : 4,570.34 = 1,291.58 : x
  2. Step 2: Convert to fraction form
    3,046.57/4,570.34 = 1,291.58/x
  3. Step 3: Cross multiply
    3,046.57x = 4,570.34 × 1,291.58
  4. Step 4: Simplify right side
    3,046.57x = 5,902,953.28
  5. Step 5: Solve for x
    x = 5,902,953.28/3,046.57
  6. Step 6: Final answer
    x = 1,937.57

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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.