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Finding the Fourth Proportional to 5,313.33, 7,334.40 and 4,564.29

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Solution

The fourth proportional to 5,313.33, 7,334.40 and 4,564.29 is: 6,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.33 : 7,334.40 = 4,564.29 : x
  2. Step 2: Convert to fraction form
    5,313.33/7,334.40 = 4,564.29/x
  3. Step 3: Cross multiply
    5,313.33x = 7,334.40 × 4,564.29
  4. Step 4: Simplify right side
    5,313.33x = 33,476,328.58
  5. Step 5: Solve for x
    x = 33,476,328.58/5,313.33
  6. Step 6: Final answer
    x = 6,300.44

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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.