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Finding the Fourth Proportional to 4,327.84, 6,477.18 and 2,678.68

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Solution

The fourth proportional to 4,327.84, 6,477.18 and 2,678.68 is: 4,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.84 : 6,477.18 = 2,678.68 : x
  2. Step 2: Convert to fraction form
    4,327.84/6,477.18 = 2,678.68/x
  3. Step 3: Cross multiply
    4,327.84x = 6,477.18 × 2,678.68
  4. Step 4: Simplify right side
    4,327.84x = 17,350,292.52
  5. Step 5: Solve for x
    x = 17,350,292.52/4,327.84
  6. Step 6: Final answer
    x = 4,009.00

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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.