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Finding the Fourth Proportional to 5,509.42, 7,603.17 and 3,152.32

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Solution

The fourth proportional to 5,509.42, 7,603.17 and 3,152.32 is: 4,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.42 : 7,603.17 = 3,152.32 : x
  2. Step 2: Convert to fraction form
    5,509.42/7,603.17 = 3,152.32/x
  3. Step 3: Cross multiply
    5,509.42x = 7,603.17 × 3,152.32
  4. Step 4: Simplify right side
    5,509.42x = 23,967,594.03
  5. Step 5: Solve for x
    x = 23,967,594.03/5,509.42
  6. Step 6: Final answer
    x = 4,350.30

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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.