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Finding the Fourth Proportional to 4,603.47, 6,905.07 and 1,316.54

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Solution

The fourth proportional to 4,603.47, 6,905.07 and 1,316.54 is: 1,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.47 : 6,905.07 = 1,316.54 : x
  2. Step 2: Convert to fraction form
    4,603.47/6,905.07 = 1,316.54/x
  3. Step 3: Cross multiply
    4,603.47x = 6,905.07 × 1,316.54
  4. Step 4: Simplify right side
    4,603.47x = 9,090,766.33
  5. Step 5: Solve for x
    x = 9,090,766.33/4,603.47
  6. Step 6: Final answer
    x = 1,974.76

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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.