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Finding the Fourth Proportional to 4,701.14, 7,048.74 and 4,005.08

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Solution

The fourth proportional to 4,701.14, 7,048.74 and 4,005.08 is: 6,005.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.14 : 7,048.74 = 4,005.08 : x
  2. Step 2: Convert to fraction form
    4,701.14/7,048.74 = 4,005.08/x
  3. Step 3: Cross multiply
    4,701.14x = 7,048.74 × 4,005.08
  4. Step 4: Simplify right side
    4,701.14x = 28,230,767.60
  5. Step 5: Solve for x
    x = 28,230,767.60/4,701.14
  6. Step 6: Final answer
    x = 6,005.09

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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.