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Finding the Fourth Proportional to 4,567.84, 6,282.72 and 3,765.52

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Solution

The fourth proportional to 4,567.84, 6,282.72 and 3,765.52 is: 5,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.84 : 6,282.72 = 3,765.52 : x
  2. Step 2: Convert to fraction form
    4,567.84/6,282.72 = 3,765.52/x
  3. Step 3: Cross multiply
    4,567.84x = 6,282.72 × 3,765.52
  4. Step 4: Simplify right side
    4,567.84x = 23,657,707.81
  5. Step 5: Solve for x
    x = 23,657,707.81/4,567.84
  6. Step 6: Final answer
    x = 5,179.19

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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.