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Finding the Fourth Proportional to 3,802.16, 5,704.80 and 1,854.32

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Solution

The fourth proportional to 3,802.16, 5,704.80 and 1,854.32 is: 2,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.16 : 5,704.80 = 1,854.32 : x
  2. Step 2: Convert to fraction form
    3,802.16/5,704.80 = 1,854.32/x
  3. Step 3: Cross multiply
    3,802.16x = 5,704.80 × 1,854.32
  4. Step 4: Simplify right side
    3,802.16x = 10,578,524.74
  5. Step 5: Solve for x
    x = 10,578,524.74/3,802.16
  6. Step 6: Final answer
    x = 2,782.24

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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.