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Finding the Fourth Proportional to 4,769.50, 7,119.18 and 4,435.24

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Solution

The fourth proportional to 4,769.50, 7,119.18 and 4,435.24 is: 6,620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.50 : 7,119.18 = 4,435.24 : x
  2. Step 2: Convert to fraction form
    4,769.50/7,119.18 = 4,435.24/x
  3. Step 3: Cross multiply
    4,769.50x = 7,119.18 × 4,435.24
  4. Step 4: Simplify right side
    4,769.50x = 31,575,271.90
  5. Step 5: Solve for x
    x = 31,575,271.90/4,769.50
  6. Step 6: Final answer
    x = 6,620.25

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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.