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Finding the Fourth Proportional to 3,256.72, 4,492.74 and 3,131.02

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Solution

The fourth proportional to 3,256.72, 4,492.74 and 3,131.02 is: 4,319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.72 : 4,492.74 = 3,131.02 : x
  2. Step 2: Convert to fraction form
    3,256.72/4,492.74 = 3,131.02/x
  3. Step 3: Cross multiply
    3,256.72x = 4,492.74 × 3,131.02
  4. Step 4: Simplify right side
    3,256.72x = 14,066,858.79
  5. Step 5: Solve for x
    x = 14,066,858.79/3,256.72
  6. Step 6: Final answer
    x = 4,319.33

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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.