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Finding the Fourth Proportional to 4,677.46, 6,455.04 and 2,688.42

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Solution

The fourth proportional to 4,677.46, 6,455.04 and 2,688.42 is: 3,710.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.46 : 6,455.04 = 2,688.42 : x
  2. Step 2: Convert to fraction form
    4,677.46/6,455.04 = 2,688.42/x
  3. Step 3: Cross multiply
    4,677.46x = 6,455.04 × 2,688.42
  4. Step 4: Simplify right side
    4,677.46x = 17,353,858.64
  5. Step 5: Solve for x
    x = 17,353,858.64/4,677.46
  6. Step 6: Final answer
    x = 3,710.10

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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.