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Finding the Fourth Proportional to 5,250.94, 7,853.17 and 4,670.02

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Solution

The fourth proportional to 5,250.94, 7,853.17 and 4,670.02 is: 6,984.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.94 : 7,853.17 = 4,670.02 : x
  2. Step 2: Convert to fraction form
    5,250.94/7,853.17 = 4,670.02/x
  3. Step 3: Cross multiply
    5,250.94x = 7,853.17 × 4,670.02
  4. Step 4: Simplify right side
    5,250.94x = 36,674,460.96
  5. Step 5: Solve for x
    x = 36,674,460.96/5,250.94
  6. Step 6: Final answer
    x = 6,984.36

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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.