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Finding the Fourth Proportional to 4,907.70, 7,346.70 and 3,807.18

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Solution

The fourth proportional to 4,907.70, 7,346.70 and 3,807.18 is: 5,699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.70 : 7,346.70 = 3,807.18 : x
  2. Step 2: Convert to fraction form
    4,907.70/7,346.70 = 3,807.18/x
  3. Step 3: Cross multiply
    4,907.70x = 7,346.70 × 3,807.18
  4. Step 4: Simplify right side
    4,907.70x = 27,970,209.31
  5. Step 5: Solve for x
    x = 27,970,209.31/4,907.70
  6. Step 6: Final answer
    x = 5,699.25

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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.