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Finding the Fourth Proportional to 3,495, 4,823.16 and 2,255.16

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Solution

The fourth proportional to 3,495, 4,823.16 and 2,255.16 is: 3,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495 : 4,823.16 = 2,255.16 : x
  2. Step 2: Convert to fraction form
    3,495/4,823.16 = 2,255.16/x
  3. Step 3: Cross multiply
    3,495x = 4,823.16 × 2,255.16
  4. Step 4: Simplify right side
    3,495x = 10,876,997.51
  5. Step 5: Solve for x
    x = 10,876,997.51/3,495
  6. Step 6: Final answer
    x = 3,112.16

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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.