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Finding the Fourth Proportional to 3,036.12, 4,554.16 and 956.30

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Solution

The fourth proportional to 3,036.12, 4,554.16 and 956.30 is: 1,434.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.12 : 4,554.16 = 956.30 : x
  2. Step 2: Convert to fraction form
    3,036.12/4,554.16 = 956.30/x
  3. Step 3: Cross multiply
    3,036.12x = 4,554.16 × 956.30
  4. Step 4: Simplify right side
    3,036.12x = 4,355,143.21
  5. Step 5: Solve for x
    x = 4,355,143.21/3,036.12
  6. Step 6: Final answer
    x = 1,434.44

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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.