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Finding the Fourth Proportional to 4,677.61, 6,454.83 and 2,688.16

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Solution

The fourth proportional to 4,677.61, 6,454.83 and 2,688.16 is: 3,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.61 : 6,454.83 = 2,688.16 : x
  2. Step 2: Convert to fraction form
    4,677.61/6,454.83 = 2,688.16/x
  3. Step 3: Cross multiply
    4,677.61x = 6,454.83 × 2,688.16
  4. Step 4: Simplify right side
    4,677.61x = 17,351,615.81
  5. Step 5: Solve for x
    x = 17,351,615.81/4,677.61
  6. Step 6: Final answer
    x = 3,709.50

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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.