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Finding the Fourth Proportional to 4,689.58, 6,471.03 and 2,897.45

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Solution

The fourth proportional to 4,689.58, 6,471.03 and 2,897.45 is: 3,998.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.58 : 6,471.03 = 2,897.45 : x
  2. Step 2: Convert to fraction form
    4,689.58/6,471.03 = 2,897.45/x
  3. Step 3: Cross multiply
    4,689.58x = 6,471.03 × 2,897.45
  4. Step 4: Simplify right side
    4,689.58x = 18,749,502.05
  5. Step 5: Solve for x
    x = 18,749,502.05/4,689.58
  6. Step 6: Final answer
    x = 3,998.12

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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.