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Finding the Fourth Proportional to 3,666.34, 5,056.47 and 2,406.43

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Solution

The fourth proportional to 3,666.34, 5,056.47 and 2,406.43 is: 3,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.34 : 5,056.47 = 2,406.43 : x
  2. Step 2: Convert to fraction form
    3,666.34/5,056.47 = 2,406.43/x
  3. Step 3: Cross multiply
    3,666.34x = 5,056.47 × 2,406.43
  4. Step 4: Simplify right side
    3,666.34x = 12,168,041.10
  5. Step 5: Solve for x
    x = 12,168,041.10/3,666.34
  6. Step 6: Final answer
    x = 3,318.85

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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.