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Finding the Fourth Proportional to 4,705.66, 6,478.95 and 3,583

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Solution

The fourth proportional to 4,705.66, 6,478.95 and 3,583 is: 4,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.66 : 6,478.95 = 3,583 : x
  2. Step 2: Convert to fraction form
    4,705.66/6,478.95 = 3,583/x
  3. Step 3: Cross multiply
    4,705.66x = 6,478.95 × 3,583
  4. Step 4: Simplify right side
    4,705.66x = 23,214,077.85
  5. Step 5: Solve for x
    x = 23,214,077.85/4,705.66
  6. Step 6: Final answer
    x = 4,933.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.