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Finding the Fourth Proportional to 4,774.03, 7,145.49 and 4,319.35

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Solution

The fourth proportional to 4,774.03, 7,145.49 and 4,319.35 is: 6,464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.03 : 7,145.49 = 4,319.35 : x
  2. Step 2: Convert to fraction form
    4,774.03/7,145.49 = 4,319.35/x
  3. Step 3: Cross multiply
    4,774.03x = 7,145.49 × 4,319.35
  4. Step 4: Simplify right side
    4,774.03x = 30,863,872.23
  5. Step 5: Solve for x
    x = 30,863,872.23/4,774.03
  6. Step 6: Final answer
    x = 6,464.95

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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.