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Finding the Fourth Proportional to 4,113.16, 6,169.74 and 3,495.40

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Solution

The fourth proportional to 4,113.16, 6,169.74 and 3,495.40 is: 5,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.16 : 6,169.74 = 3,495.40 : x
  2. Step 2: Convert to fraction form
    4,113.16/6,169.74 = 3,495.40/x
  3. Step 3: Cross multiply
    4,113.16x = 6,169.74 × 3,495.40
  4. Step 4: Simplify right side
    4,113.16x = 21,565,709.20
  5. Step 5: Solve for x
    x = 21,565,709.20/4,113.16
  6. Step 6: Final answer
    x = 5,243.10

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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.