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Finding the Fourth Proportional to 5,768.24, 8,603.10 and 4,896.47

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Solution

The fourth proportional to 5,768.24, 8,603.10 and 4,896.47 is: 7,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.24 : 8,603.10 = 4,896.47 : x
  2. Step 2: Convert to fraction form
    5,768.24/8,603.10 = 4,896.47/x
  3. Step 3: Cross multiply
    5,768.24x = 8,603.10 × 4,896.47
  4. Step 4: Simplify right side
    5,768.24x = 42,124,778.04
  5. Step 5: Solve for x
    x = 42,124,778.04/5,768.24
  6. Step 6: Final answer
    x = 7,302.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.