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Finding the Fourth Proportional to 5,624.51, 7,765.13 and 3,858.71

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Solution

The fourth proportional to 5,624.51, 7,765.13 and 3,858.71 is: 5,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.51 : 7,765.13 = 3,858.71 : x
  2. Step 2: Convert to fraction form
    5,624.51/7,765.13 = 3,858.71/x
  3. Step 3: Cross multiply
    5,624.51x = 7,765.13 × 3,858.71
  4. Step 4: Simplify right side
    5,624.51x = 29,963,355.60
  5. Step 5: Solve for x
    x = 29,963,355.60/5,624.51
  6. Step 6: Final answer
    x = 5,327.29

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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.