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Finding the Fourth Proportional to 4,970.82, 7,435.71 and 4,083.33

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Solution

The fourth proportional to 4,970.82, 7,435.71 and 4,083.33 is: 6,108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.82 : 7,435.71 = 4,083.33 : x
  2. Step 2: Convert to fraction form
    4,970.82/7,435.71 = 4,083.33/x
  3. Step 3: Cross multiply
    4,970.82x = 7,435.71 × 4,083.33
  4. Step 4: Simplify right side
    4,970.82x = 30,362,457.71
  5. Step 5: Solve for x
    x = 30,362,457.71/4,970.82
  6. Step 6: Final answer
    x = 6,108.14

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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.