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Finding the Fourth Proportional to 3,495.66, 5,246.79 and 1,276.65

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Solution

The fourth proportional to 3,495.66, 5,246.79 and 1,276.65 is: 1,916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.66 : 5,246.79 = 1,276.65 : x
  2. Step 2: Convert to fraction form
    3,495.66/5,246.79 = 1,276.65/x
  3. Step 3: Cross multiply
    3,495.66x = 5,246.79 × 1,276.65
  4. Step 4: Simplify right side
    3,495.66x = 6,698,314.45
  5. Step 5: Solve for x
    x = 6,698,314.45/3,495.66
  6. Step 6: Final answer
    x = 1,916.18

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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.