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Finding the Fourth Proportional to 3,674.02, 5,509.38 and 1,077.16

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Solution

The fourth proportional to 3,674.02, 5,509.38 and 1,077.16 is: 1,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.02 : 5,509.38 = 1,077.16 : x
  2. Step 2: Convert to fraction form
    3,674.02/5,509.38 = 1,077.16/x
  3. Step 3: Cross multiply
    3,674.02x = 5,509.38 × 1,077.16
  4. Step 4: Simplify right side
    3,674.02x = 5,934,483.76
  5. Step 5: Solve for x
    x = 5,934,483.76/3,674.02
  6. Step 6: Final answer
    x = 1,615.26

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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.