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Finding the Fourth Proportional to 3,102.36, 4,647.96 and 3,036.76

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Solution

The fourth proportional to 3,102.36, 4,647.96 and 3,036.76 is: 4,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.36 : 4,647.96 = 3,036.76 : x
  2. Step 2: Convert to fraction form
    3,102.36/4,647.96 = 3,036.76/x
  3. Step 3: Cross multiply
    3,102.36x = 4,647.96 × 3,036.76
  4. Step 4: Simplify right side
    3,102.36x = 14,114,739.01
  5. Step 5: Solve for x
    x = 14,114,739.01/3,102.36
  6. Step 6: Final answer
    x = 4,549.68

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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.