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Finding the Fourth Proportional to 4,603.23, 6,905.08 and 1,316.82

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Solution

The fourth proportional to 4,603.23, 6,905.08 and 1,316.82 is: 1,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.23 : 6,905.08 = 1,316.82 : x
  2. Step 2: Convert to fraction form
    4,603.23/6,905.08 = 1,316.82/x
  3. Step 3: Cross multiply
    4,603.23x = 6,905.08 × 1,316.82
  4. Step 4: Simplify right side
    4,603.23x = 9,092,747.45
  5. Step 5: Solve for x
    x = 9,092,747.45/4,603.23
  6. Step 6: Final answer
    x = 1,975.30

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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.