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Finding the Fourth Proportional to 3,472.84, 4,792.80 and 2,075.86

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Solution

The fourth proportional to 3,472.84, 4,792.80 and 2,075.86 is: 2,864.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.84 : 4,792.80 = 2,075.86 : x
  2. Step 2: Convert to fraction form
    3,472.84/4,792.80 = 2,075.86/x
  3. Step 3: Cross multiply
    3,472.84x = 4,792.80 × 2,075.86
  4. Step 4: Simplify right side
    3,472.84x = 9,949,181.81
  5. Step 5: Solve for x
    x = 9,949,181.81/3,472.84
  6. Step 6: Final answer
    x = 2,864.85

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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.