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Finding the Fourth Proportional to 3,582.41, 4,941.74 and 2,255.63

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Solution

The fourth proportional to 3,582.41, 4,941.74 and 2,255.63 is: 3,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.41 : 4,941.74 = 2,255.63 : x
  2. Step 2: Convert to fraction form
    3,582.41/4,941.74 = 2,255.63/x
  3. Step 3: Cross multiply
    3,582.41x = 4,941.74 × 2,255.63
  4. Step 4: Simplify right side
    3,582.41x = 11,146,717.93
  5. Step 5: Solve for x
    x = 11,146,717.93/3,582.41
  6. Step 6: Final answer
    x = 3,111.52

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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.