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Finding the Fourth Proportional to 5,509.97, 7,603.76 and 3,152.12

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Solution

The fourth proportional to 5,509.97, 7,603.76 and 3,152.12 is: 4,349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.97 : 7,603.76 = 3,152.12 : x
  2. Step 2: Convert to fraction form
    5,509.97/7,603.76 = 3,152.12/x
  3. Step 3: Cross multiply
    5,509.97x = 7,603.76 × 3,152.12
  4. Step 4: Simplify right side
    5,509.97x = 23,967,933.83
  5. Step 5: Solve for x
    x = 23,967,933.83/5,509.97
  6. Step 6: Final answer
    x = 4,349.92

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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.