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Finding the Fourth Proportional to 4,900.64, 6,762.76 and 2,804.63

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Solution

The fourth proportional to 4,900.64, 6,762.76 and 2,804.63 is: 3,870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.64 : 6,762.76 = 2,804.63 : x
  2. Step 2: Convert to fraction form
    4,900.64/6,762.76 = 2,804.63/x
  3. Step 3: Cross multiply
    4,900.64x = 6,762.76 × 2,804.63
  4. Step 4: Simplify right side
    4,900.64x = 18,966,998.75
  5. Step 5: Solve for x
    x = 18,966,998.75/4,900.64
  6. Step 6: Final answer
    x = 3,870.31

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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.