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Finding the Fourth Proportional to 4,762.60, 7,145.94 and 1,842.96

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Solution

The fourth proportional to 4,762.60, 7,145.94 and 1,842.96 is: 2,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.60 : 7,145.94 = 1,842.96 : x
  2. Step 2: Convert to fraction form
    4,762.60/7,145.94 = 1,842.96/x
  3. Step 3: Cross multiply
    4,762.60x = 7,145.94 × 1,842.96
  4. Step 4: Simplify right side
    4,762.60x = 13,169,681.58
  5. Step 5: Solve for x
    x = 13,169,681.58/4,762.60
  6. Step 6: Final answer
    x = 2,765.23

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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.