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Finding the Fourth Proportional to 5,704.76, 7,870.36 and 3,346.04

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Solution

The fourth proportional to 5,704.76, 7,870.36 and 3,346.04 is: 4,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.76 : 7,870.36 = 3,346.04 : x
  2. Step 2: Convert to fraction form
    5,704.76/7,870.36 = 3,346.04/x
  3. Step 3: Cross multiply
    5,704.76x = 7,870.36 × 3,346.04
  4. Step 4: Simplify right side
    5,704.76x = 26,334,539.37
  5. Step 5: Solve for x
    x = 26,334,539.37/5,704.76
  6. Step 6: Final answer
    x = 4,616.24

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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.