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Finding the Fourth Proportional to 4,575.84, 6,863.28 and 1,289.52

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Solution

The fourth proportional to 4,575.84, 6,863.28 and 1,289.52 is: 1,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.84 : 6,863.28 = 1,289.52 : x
  2. Step 2: Convert to fraction form
    4,575.84/6,863.28 = 1,289.52/x
  3. Step 3: Cross multiply
    4,575.84x = 6,863.28 × 1,289.52
  4. Step 4: Simplify right side
    4,575.84x = 8,850,336.83
  5. Step 5: Solve for x
    x = 8,850,336.83/4,575.84
  6. Step 6: Final answer
    x = 1,934.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.