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Finding the Fourth Proportional to 4,698.35, 7,047.74 and 3,875.09

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Solution

The fourth proportional to 4,698.35, 7,047.74 and 3,875.09 is: 5,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.35 : 7,047.74 = 3,875.09 : x
  2. Step 2: Convert to fraction form
    4,698.35/7,047.74 = 3,875.09/x
  3. Step 3: Cross multiply
    4,698.35x = 7,047.74 × 3,875.09
  4. Step 4: Simplify right side
    4,698.35x = 27,310,654.10
  5. Step 5: Solve for x
    x = 27,310,654.10/4,698.35
  6. Step 6: Final answer
    x = 5,812.82

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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.