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Finding the Fourth Proportional to 3,477.10, 5,215.53 and 880.03

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Solution

The fourth proportional to 3,477.10, 5,215.53 and 880.03 is: 1,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.10 : 5,215.53 = 880.03 : x
  2. Step 2: Convert to fraction form
    3,477.10/5,215.53 = 880.03/x
  3. Step 3: Cross multiply
    3,477.10x = 5,215.53 × 880.03
  4. Step 4: Simplify right side
    3,477.10x = 4,589,822.87
  5. Step 5: Solve for x
    x = 4,589,822.87/3,477.10
  6. Step 6: Final answer
    x = 1,320.01

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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.