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Finding the Fourth Proportional to 5,898.69, 8,123.76 and 5,880.60

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Solution

The fourth proportional to 5,898.69, 8,123.76 and 5,880.60 is: 8,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.69 : 8,123.76 = 5,880.60 : x
  2. Step 2: Convert to fraction form
    5,898.69/8,123.76 = 5,880.60/x
  3. Step 3: Cross multiply
    5,898.69x = 8,123.76 × 5,880.60
  4. Step 4: Simplify right side
    5,898.69x = 47,772,583.06
  5. Step 5: Solve for x
    x = 47,772,583.06/5,898.69
  6. Step 6: Final answer
    x = 8,098.85

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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.