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Finding the Fourth Proportional to 4,746.34, 6,543.84 and 3,892.46

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Solution

The fourth proportional to 4,746.34, 6,543.84 and 3,892.46 is: 5,366.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.34 : 6,543.84 = 3,892.46 : x
  2. Step 2: Convert to fraction form
    4,746.34/6,543.84 = 3,892.46/x
  3. Step 3: Cross multiply
    4,746.34x = 6,543.84 × 3,892.46
  4. Step 4: Simplify right side
    4,746.34x = 25,471,651.81
  5. Step 5: Solve for x
    x = 25,471,651.81/4,746.34
  6. Step 6: Final answer
    x = 5,366.59

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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.