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Finding the Fourth Proportional to 5,160.39, 7,123.16 and 3,064.50

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Solution

The fourth proportional to 5,160.39, 7,123.16 and 3,064.50 is: 4,230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.39 : 7,123.16 = 3,064.50 : x
  2. Step 2: Convert to fraction form
    5,160.39/7,123.16 = 3,064.50/x
  3. Step 3: Cross multiply
    5,160.39x = 7,123.16 × 3,064.50
  4. Step 4: Simplify right side
    5,160.39x = 21,828,908.50
  5. Step 5: Solve for x
    x = 21,828,908.50/5,160.39
  6. Step 6: Final answer
    x = 4,230.09

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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.