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Finding the Fourth Proportional to 4,188.62, 6,282.94 and 1,266.93

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Solution

The fourth proportional to 4,188.62, 6,282.94 and 1,266.93 is: 1,900.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.62 : 6,282.94 = 1,266.93 : x
  2. Step 2: Convert to fraction form
    4,188.62/6,282.94 = 1,266.93/x
  3. Step 3: Cross multiply
    4,188.62x = 6,282.94 × 1,266.93
  4. Step 4: Simplify right side
    4,188.62x = 7,960,038.84
  5. Step 5: Solve for x
    x = 7,960,038.84/4,188.62
  6. Step 6: Final answer
    x = 1,900.40

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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.