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Finding the Fourth Proportional to 3,670.70, 5,504.94 and 1,038.02

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Solution

The fourth proportional to 3,670.70, 5,504.94 and 1,038.02 is: 1,556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.70 : 5,504.94 = 1,038.02 : x
  2. Step 2: Convert to fraction form
    3,670.70/5,504.94 = 1,038.02/x
  3. Step 3: Cross multiply
    3,670.70x = 5,504.94 × 1,038.02
  4. Step 4: Simplify right side
    3,670.70x = 5,714,210.29
  5. Step 5: Solve for x
    x = 5,714,210.29/3,670.70
  6. Step 6: Final answer
    x = 1,556.71

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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.