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Finding the Fourth Proportional to 5,196.60, 7,829.64 and 4,703.67

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Solution

The fourth proportional to 5,196.60, 7,829.64 and 4,703.67 is: 7,086.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.60 : 7,829.64 = 4,703.67 : x
  2. Step 2: Convert to fraction form
    5,196.60/7,829.64 = 4,703.67/x
  3. Step 3: Cross multiply
    5,196.60x = 7,829.64 × 4,703.67
  4. Step 4: Simplify right side
    5,196.60x = 36,828,042.78
  5. Step 5: Solve for x
    x = 36,828,042.78/5,196.60
  6. Step 6: Final answer
    x = 7,086.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.