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Finding the Fourth Proportional to 4,575.84, 6,299.16 and 4,015.32

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Solution

The fourth proportional to 4,575.84, 6,299.16 and 4,015.32 is: 5,527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.84 : 6,299.16 = 4,015.32 : x
  2. Step 2: Convert to fraction form
    4,575.84/6,299.16 = 4,015.32/x
  3. Step 3: Cross multiply
    4,575.84x = 6,299.16 × 4,015.32
  4. Step 4: Simplify right side
    4,575.84x = 25,293,143.13
  5. Step 5: Solve for x
    x = 25,293,143.13/4,575.84
  6. Step 6: Final answer
    x = 5,527.54

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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.