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Finding the Fourth Proportional to 4,700.42, 6,484.49 and 3,021.51

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Solution

The fourth proportional to 4,700.42, 6,484.49 and 3,021.51 is: 4,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.42 : 6,484.49 = 3,021.51 : x
  2. Step 2: Convert to fraction form
    4,700.42/6,484.49 = 3,021.51/x
  3. Step 3: Cross multiply
    4,700.42x = 6,484.49 × 3,021.51
  4. Step 4: Simplify right side
    4,700.42x = 19,592,936.27
  5. Step 5: Solve for x
    x = 19,592,936.27/4,700.42
  6. Step 6: Final answer
    x = 4,168.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.