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Finding the Fourth Proportional to 4,030.76, 6,047.11 and 1,689.48

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Solution

The fourth proportional to 4,030.76, 6,047.11 and 1,689.48 is: 2,534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,030.76 : 6,047.11 = 1,689.48 : x
  2. Step 2: Convert to fraction form
    4,030.76/6,047.11 = 1,689.48/x
  3. Step 3: Cross multiply
    4,030.76x = 6,047.11 × 1,689.48
  4. Step 4: Simplify right side
    4,030.76x = 10,216,471.40
  5. Step 5: Solve for x
    x = 10,216,471.40/4,030.76
  6. Step 6: Final answer
    x = 2,534.63

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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.