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Finding the Fourth Proportional to 3,862.84, 5,792.63 and 1,670.00

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Solution

The fourth proportional to 3,862.84, 5,792.63 and 1,670.00 is: 2,504.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.84 : 5,792.63 = 1,670.00 : x
  2. Step 2: Convert to fraction form
    3,862.84/5,792.63 = 1,670.00/x
  3. Step 3: Cross multiply
    3,862.84x = 5,792.63 × 1,670.00
  4. Step 4: Simplify right side
    3,862.84x = 9,673,696.76
  5. Step 5: Solve for x
    x = 9,673,696.76/3,862.84
  6. Step 6: Final answer
    x = 2,504.30

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Why These Related Problems?

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