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Finding the Fourth Proportional to 4,048.40, 6,072.84 and 1,582.40

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Solution

The fourth proportional to 4,048.40, 6,072.84 and 1,582.40 is: 2,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,048.40 : 6,072.84 = 1,582.40 : x
  2. Step 2: Convert to fraction form
    4,048.40/6,072.84 = 1,582.40/x
  3. Step 3: Cross multiply
    4,048.40x = 6,072.84 × 1,582.40
  4. Step 4: Simplify right side
    4,048.40x = 9,609,662.02
  5. Step 5: Solve for x
    x = 9,609,662.02/4,048.40
  6. Step 6: Final answer
    x = 2,373.69

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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.