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Finding the Fourth Proportional to 4,195, 6,292.52 and 1,117

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Solution

The fourth proportional to 4,195, 6,292.52 and 1,117 is: 1,675.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195 : 6,292.52 = 1,117 : x
  2. Step 2: Convert to fraction form
    4,195/6,292.52 = 1,117/x
  3. Step 3: Cross multiply
    4,195x = 6,292.52 × 1,117
  4. Step 4: Simplify right side
    4,195x = 7,028,744.84
  5. Step 5: Solve for x
    x = 7,028,744.84/4,195
  6. Step 6: Final answer
    x = 1,675.51

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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.