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Finding the Fourth Proportional to 4,432.88, 6,649.94 and 1,313.17

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Solution

The fourth proportional to 4,432.88, 6,649.94 and 1,313.17 is: 1,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.88 : 6,649.94 = 1,313.17 : x
  2. Step 2: Convert to fraction form
    4,432.88/6,649.94 = 1,313.17/x
  3. Step 3: Cross multiply
    4,432.88x = 6,649.94 × 1,313.17
  4. Step 4: Simplify right side
    4,432.88x = 8,732,488.37
  5. Step 5: Solve for x
    x = 8,732,488.37/4,432.88
  6. Step 6: Final answer
    x = 1,969.93

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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.