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Finding the Fourth Proportional to 3,666.12, 5,495.94 and 1,356

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Solution

The fourth proportional to 3,666.12, 5,495.94 and 1,356 is: 2,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.12 : 5,495.94 = 1,356 : x
  2. Step 2: Convert to fraction form
    3,666.12/5,495.94 = 1,356/x
  3. Step 3: Cross multiply
    3,666.12x = 5,495.94 × 1,356
  4. Step 4: Simplify right side
    3,666.12x = 7,452,494.64
  5. Step 5: Solve for x
    x = 7,452,494.64/3,666.12
  6. Step 6: Final answer
    x = 2,032.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.