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Finding the Fourth Proportional to 3,134.84, 4,665.33 and 3,018.20

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Solution

The fourth proportional to 3,134.84, 4,665.33 and 3,018.20 is: 4,491.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.84 : 4,665.33 = 3,018.20 : x
  2. Step 2: Convert to fraction form
    3,134.84/4,665.33 = 3,018.20/x
  3. Step 3: Cross multiply
    3,134.84x = 4,665.33 × 3,018.20
  4. Step 4: Simplify right side
    3,134.84x = 14,080,875.68
  5. Step 5: Solve for x
    x = 14,080,875.68/3,134.84
  6. Step 6: Final answer
    x = 4,491.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.