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Finding the Fourth Proportional to 4,673.20, 7,009.80 and 4,235.80

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Solution

The fourth proportional to 4,673.20, 7,009.80 and 4,235.80 is: 6,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.20 : 7,009.80 = 4,235.80 : x
  2. Step 2: Convert to fraction form
    4,673.20/7,009.80 = 4,235.80/x
  3. Step 3: Cross multiply
    4,673.20x = 7,009.80 × 4,235.80
  4. Step 4: Simplify right side
    4,673.20x = 29,692,110.84
  5. Step 5: Solve for x
    x = 29,692,110.84/4,673.20
  6. Step 6: Final answer
    x = 6,353.70

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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.