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Finding the Fourth Proportional to 3,859.64, 5,792.70 and 1,670.04

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Solution

The fourth proportional to 3,859.64, 5,792.70 and 1,670.04 is: 2,506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.64 : 5,792.70 = 1,670.04 : x
  2. Step 2: Convert to fraction form
    3,859.64/5,792.70 = 1,670.04/x
  3. Step 3: Cross multiply
    3,859.64x = 5,792.70 × 1,670.04
  4. Step 4: Simplify right side
    3,859.64x = 9,674,040.71
  5. Step 5: Solve for x
    x = 9,674,040.71/3,859.64
  6. Step 6: Final answer
    x = 2,506.46

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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.