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Finding the Fourth Proportional to 4,303.34, 5,934.09 and 3,186.45

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Solution

The fourth proportional to 4,303.34, 5,934.09 and 3,186.45 is: 4,393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.34 : 5,934.09 = 3,186.45 : x
  2. Step 2: Convert to fraction form
    4,303.34/5,934.09 = 3,186.45/x
  3. Step 3: Cross multiply
    4,303.34x = 5,934.09 × 3,186.45
  4. Step 4: Simplify right side
    4,303.34x = 18,908,693.03
  5. Step 5: Solve for x
    x = 18,908,693.03/4,303.34
  6. Step 6: Final answer
    x = 4,393.96

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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.