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Finding the Fourth Proportional to 3,783.17, 5,670.47 and 1,700.06

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Solution

The fourth proportional to 3,783.17, 5,670.47 and 1,700.06 is: 2,548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.17 : 5,670.47 = 1,700.06 : x
  2. Step 2: Convert to fraction form
    3,783.17/5,670.47 = 1,700.06/x
  3. Step 3: Cross multiply
    3,783.17x = 5,670.47 × 1,700.06
  4. Step 4: Simplify right side
    3,783.17x = 9,640,115.13
  5. Step 5: Solve for x
    x = 9,640,115.13/3,783.17
  6. Step 6: Final answer
    x = 2,548.16

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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.