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Finding the Fourth Proportional to 4,412.40, 6,083.66 and 3,570

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Solution

The fourth proportional to 4,412.40, 6,083.66 and 3,570 is: 4,922.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,412.40 : 6,083.66 = 3,570 : x
  2. Step 2: Convert to fraction form
    4,412.40/6,083.66 = 3,570/x
  3. Step 3: Cross multiply
    4,412.40x = 6,083.66 × 3,570
  4. Step 4: Simplify right side
    4,412.40x = 21,718,666.20
  5. Step 5: Solve for x
    x = 21,718,666.20/4,412.40
  6. Step 6: Final answer
    x = 4,922.19

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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.