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Finding the Fourth Proportional to 4,604.14, 6,894.60 and 4,182.76

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Solution

The fourth proportional to 4,604.14, 6,894.60 and 4,182.76 is: 6,263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.14 : 6,894.60 = 4,182.76 : x
  2. Step 2: Convert to fraction form
    4,604.14/6,894.60 = 4,182.76/x
  3. Step 3: Cross multiply
    4,604.14x = 6,894.60 × 4,182.76
  4. Step 4: Simplify right side
    4,604.14x = 28,838,457.10
  5. Step 5: Solve for x
    x = 28,838,457.10/4,604.14
  6. Step 6: Final answer
    x = 6,263.59

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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.