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Finding the Fourth Proportional to 5,206.34, 7,184.75 and 2,848.47

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Solution

The fourth proportional to 5,206.34, 7,184.75 and 2,848.47 is: 3,930.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.34 : 7,184.75 = 2,848.47 : x
  2. Step 2: Convert to fraction form
    5,206.34/7,184.75 = 2,848.47/x
  3. Step 3: Cross multiply
    5,206.34x = 7,184.75 × 2,848.47
  4. Step 4: Simplify right side
    5,206.34x = 20,465,530.59
  5. Step 5: Solve for x
    x = 20,465,530.59/5,206.34
  6. Step 6: Final answer
    x = 3,930.89

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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.