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Finding the Fourth Proportional to 4,727.90, 6,510.42 and 4,623

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Solution

The fourth proportional to 4,727.90, 6,510.42 and 4,623 is: 6,365.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.90 : 6,510.42 = 4,623 : x
  2. Step 2: Convert to fraction form
    4,727.90/6,510.42 = 4,623/x
  3. Step 3: Cross multiply
    4,727.90x = 6,510.42 × 4,623
  4. Step 4: Simplify right side
    4,727.90x = 30,097,671.66
  5. Step 5: Solve for x
    x = 30,097,671.66/4,727.90
  6. Step 6: Final answer
    x = 6,365.97

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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.