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Finding the Fourth Proportional to 5,964.94, 8,947.58 and 1,582.40

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Solution

The fourth proportional to 5,964.94, 8,947.58 and 1,582.40 is: 2,373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.94 : 8,947.58 = 1,582.40 : x
  2. Step 2: Convert to fraction form
    5,964.94/8,947.58 = 1,582.40/x
  3. Step 3: Cross multiply
    5,964.94x = 8,947.58 × 1,582.40
  4. Step 4: Simplify right side
    5,964.94x = 14,158,673.95
  5. Step 5: Solve for x
    x = 14,158,673.95/5,964.94
  6. Step 6: Final answer
    x = 2,373.65

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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.