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Finding the Fourth Proportional to 4,871.93, 7,303.27 and 1,582.73

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Solution

The fourth proportional to 4,871.93, 7,303.27 and 1,582.73 is: 2,372.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.93 : 7,303.27 = 1,582.73 : x
  2. Step 2: Convert to fraction form
    4,871.93/7,303.27 = 1,582.73/x
  3. Step 3: Cross multiply
    4,871.93x = 7,303.27 × 1,582.73
  4. Step 4: Simplify right side
    4,871.93x = 11,559,104.53
  5. Step 5: Solve for x
    x = 11,559,104.53/4,871.93
  6. Step 6: Final answer
    x = 2,372.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.