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Finding the Fourth Proportional to 4,669.02, 7,003.53 and 1,206

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Solution

The fourth proportional to 4,669.02, 7,003.53 and 1,206 is: 1,809.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.02 : 7,003.53 = 1,206 : x
  2. Step 2: Convert to fraction form
    4,669.02/7,003.53 = 1,206/x
  3. Step 3: Cross multiply
    4,669.02x = 7,003.53 × 1,206
  4. Step 4: Simplify right side
    4,669.02x = 8,446,257.18
  5. Step 5: Solve for x
    x = 8,446,257.18/4,669.02
  6. Step 6: Final answer
    x = 1,809.00

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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.