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Finding the Fourth Proportional to 4,570.83, 6,309.50 and 2,802.09

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Solution

The fourth proportional to 4,570.83, 6,309.50 and 2,802.09 is: 3,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.83 : 6,309.50 = 2,802.09 : x
  2. Step 2: Convert to fraction form
    4,570.83/6,309.50 = 2,802.09/x
  3. Step 3: Cross multiply
    4,570.83x = 6,309.50 × 2,802.09
  4. Step 4: Simplify right side
    4,570.83x = 17,679,796.51
  5. Step 5: Solve for x
    x = 17,679,796.51/4,570.83
  6. Step 6: Final answer
    x = 3,867.96

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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.