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Finding the Fourth Proportional to 4,565.93, 6,843.90 and 1,792.13

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Solution

The fourth proportional to 4,565.93, 6,843.90 and 1,792.13 is: 2,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.93 : 6,843.90 = 1,792.13 : x
  2. Step 2: Convert to fraction form
    4,565.93/6,843.90 = 1,792.13/x
  3. Step 3: Cross multiply
    4,565.93x = 6,843.90 × 1,792.13
  4. Step 4: Simplify right side
    4,565.93x = 12,265,158.51
  5. Step 5: Solve for x
    x = 12,265,158.51/4,565.93
  6. Step 6: Final answer
    x = 2,686.23

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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.