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Finding the Fourth Proportional to 5,838.32, 8,752.44 and 2,378

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Solution

The fourth proportional to 5,838.32, 8,752.44 and 2,378 is: 3,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.32 : 8,752.44 = 2,378 : x
  2. Step 2: Convert to fraction form
    5,838.32/8,752.44 = 2,378/x
  3. Step 3: Cross multiply
    5,838.32x = 8,752.44 × 2,378
  4. Step 4: Simplify right side
    5,838.32x = 20,813,302.32
  5. Step 5: Solve for x
    x = 20,813,302.32/5,838.32
  6. Step 6: Final answer
    x = 3,564.95

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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.