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Finding the Fourth Proportional to 4,660.84, 6,989.58 and 1,582.12

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Solution

The fourth proportional to 4,660.84, 6,989.58 and 1,582.12 is: 2,372.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.84 : 6,989.58 = 1,582.12 : x
  2. Step 2: Convert to fraction form
    4,660.84/6,989.58 = 1,582.12/x
  3. Step 3: Cross multiply
    4,660.84x = 6,989.58 × 1,582.12
  4. Step 4: Simplify right side
    4,660.84x = 11,058,354.31
  5. Step 5: Solve for x
    x = 11,058,354.31/4,660.84
  6. Step 6: Final answer
    x = 2,372.61

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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.