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Finding the Fourth Proportional to 4,698.14, 7,044.24 and 4,002.08

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Solution

The fourth proportional to 4,698.14, 7,044.24 and 4,002.08 is: 6,000.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.14 : 7,044.24 = 4,002.08 : x
  2. Step 2: Convert to fraction form
    4,698.14/7,044.24 = 4,002.08/x
  3. Step 3: Cross multiply
    4,698.14x = 7,044.24 × 4,002.08
  4. Step 4: Simplify right side
    4,698.14x = 28,191,612.02
  5. Step 5: Solve for x
    x = 28,191,612.02/4,698.14
  6. Step 6: Final answer
    x = 6,000.59

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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.