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Finding the Fourth Proportional to 4,655.13, 6,424.07 and 3,083.22

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Solution

The fourth proportional to 4,655.13, 6,424.07 and 3,083.22 is: 4,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.13 : 6,424.07 = 3,083.22 : x
  2. Step 2: Convert to fraction form
    4,655.13/6,424.07 = 3,083.22/x
  3. Step 3: Cross multiply
    4,655.13x = 6,424.07 × 3,083.22
  4. Step 4: Simplify right side
    4,655.13x = 19,806,821.11
  5. Step 5: Solve for x
    x = 19,806,821.11/4,655.13
  6. Step 6: Final answer
    x = 4,254.84

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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.