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Finding the Fourth Proportional to 3,495.86, 5,264.60 and 3,153.14

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Solution

The fourth proportional to 3,495.86, 5,264.60 and 3,153.14 is: 4,748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.86 : 5,264.60 = 3,153.14 : x
  2. Step 2: Convert to fraction form
    3,495.86/5,264.60 = 3,153.14/x
  3. Step 3: Cross multiply
    3,495.86x = 5,264.60 × 3,153.14
  4. Step 4: Simplify right side
    3,495.86x = 16,600,005.08
  5. Step 5: Solve for x
    x = 16,600,005.08/3,495.86
  6. Step 6: Final answer
    x = 4,748.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.