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Finding the Fourth Proportional to 5,477.94, 8,217.90 and 1,582.56

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Solution

The fourth proportional to 5,477.94, 8,217.90 and 1,582.56 is: 2,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.94 : 8,217.90 = 1,582.56 : x
  2. Step 2: Convert to fraction form
    5,477.94/8,217.90 = 1,582.56/x
  3. Step 3: Cross multiply
    5,477.94x = 8,217.90 × 1,582.56
  4. Step 4: Simplify right side
    5,477.94x = 13,005,319.82
  5. Step 5: Solve for x
    x = 13,005,319.82/5,477.94
  6. Step 6: Final answer
    x = 2,374.13

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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.