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Finding the Fourth Proportional to 3,804.70, 5,710.65 and 2,346.70

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Solution

The fourth proportional to 3,804.70, 5,710.65 and 2,346.70 is: 3,522.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.70 : 5,710.65 = 2,346.70 : x
  2. Step 2: Convert to fraction form
    3,804.70/5,710.65 = 2,346.70/x
  3. Step 3: Cross multiply
    3,804.70x = 5,710.65 × 2,346.70
  4. Step 4: Simplify right side
    3,804.70x = 13,401,182.36
  5. Step 5: Solve for x
    x = 13,401,182.36/3,804.70
  6. Step 6: Final answer
    x = 3,522.27

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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.