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Finding the Fourth Proportional to 4,707.48, 7,058.49 and 1,786.02

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Solution

The fourth proportional to 4,707.48, 7,058.49 and 1,786.02 is: 2,677.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.48 : 7,058.49 = 1,786.02 : x
  2. Step 2: Convert to fraction form
    4,707.48/7,058.49 = 1,786.02/x
  3. Step 3: Cross multiply
    4,707.48x = 7,058.49 × 1,786.02
  4. Step 4: Simplify right side
    4,707.48x = 12,606,604.31
  5. Step 5: Solve for x
    x = 12,606,604.31/4,707.48
  6. Step 6: Final answer
    x = 2,677.99

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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.