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Finding the Fourth Proportional to 5,454.68, 7,529.72 and 3,688.68

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Solution

The fourth proportional to 5,454.68, 7,529.72 and 3,688.68 is: 5,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.68 : 7,529.72 = 3,688.68 : x
  2. Step 2: Convert to fraction form
    5,454.68/7,529.72 = 3,688.68/x
  3. Step 3: Cross multiply
    5,454.68x = 7,529.72 × 3,688.68
  4. Step 4: Simplify right side
    5,454.68x = 27,774,727.57
  5. Step 5: Solve for x
    x = 27,774,727.57/5,454.68
  6. Step 6: Final answer
    x = 5,091.91

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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.