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Finding the Fourth Proportional to 3,582.84, 5,374.40 and 986

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Solution

The fourth proportional to 3,582.84, 5,374.40 and 986 is: 1,479.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.84 : 5,374.40 = 986 : x
  2. Step 2: Convert to fraction form
    3,582.84/5,374.40 = 986/x
  3. Step 3: Cross multiply
    3,582.84x = 5,374.40 × 986
  4. Step 4: Simplify right side
    3,582.84x = 5,299,158.40
  5. Step 5: Solve for x
    x = 5,299,158.40/3,582.84
  6. Step 6: Final answer
    x = 1,479.04

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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.