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Finding the Fourth Proportional to 5,123.66, 7,069.40 and 3,133.50

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Solution

The fourth proportional to 5,123.66, 7,069.40 and 3,133.50 is: 4,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.66 : 7,069.40 = 3,133.50 : x
  2. Step 2: Convert to fraction form
    5,123.66/7,069.40 = 3,133.50/x
  3. Step 3: Cross multiply
    5,123.66x = 7,069.40 × 3,133.50
  4. Step 4: Simplify right side
    5,123.66x = 22,151,964.90
  5. Step 5: Solve for x
    x = 22,151,964.90/5,123.66
  6. Step 6: Final answer
    x = 4,323.47

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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.