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Finding the Fourth Proportional to 4,780.94, 7,146.14 and 4,311.54

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Solution

The fourth proportional to 4,780.94, 7,146.14 and 4,311.54 is: 6,444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.94 : 7,146.14 = 4,311.54 : x
  2. Step 2: Convert to fraction form
    4,780.94/7,146.14 = 4,311.54/x
  3. Step 3: Cross multiply
    4,780.94x = 7,146.14 × 4,311.54
  4. Step 4: Simplify right side
    4,780.94x = 30,810,868.46
  5. Step 5: Solve for x
    x = 30,810,868.46/4,780.94
  6. Step 6: Final answer
    x = 6,444.52

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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.