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Finding the Fourth Proportional to 4,871.44, 7,302.52 and 1,582.22

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Solution

The fourth proportional to 4,871.44, 7,302.52 and 1,582.22 is: 2,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.44 : 7,302.52 = 1,582.22 : x
  2. Step 2: Convert to fraction form
    4,871.44/7,302.52 = 1,582.22/x
  3. Step 3: Cross multiply
    4,871.44x = 7,302.52 × 1,582.22
  4. Step 4: Simplify right side
    4,871.44x = 11,554,193.19
  5. Step 5: Solve for x
    x = 11,554,193.19/4,871.44
  6. Step 6: Final answer
    x = 2,371.82

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1.5x scale

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.