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Finding the Fourth Proportional to 4,683.90, 7,024.02 and 2,085

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Solution

The fourth proportional to 4,683.90, 7,024.02 and 2,085 is: 3,126.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.90 : 7,024.02 = 2,085 : x
  2. Step 2: Convert to fraction form
    4,683.90/7,024.02 = 2,085/x
  3. Step 3: Cross multiply
    4,683.90x = 7,024.02 × 2,085
  4. Step 4: Simplify right side
    4,683.90x = 14,645,081.70
  5. Step 5: Solve for x
    x = 14,645,081.70/4,683.90
  6. Step 6: Final answer
    x = 3,126.69

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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.