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Finding the Fourth Proportional to 5,738.61, 8,607.93 and 1,578.66

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Solution

The fourth proportional to 5,738.61, 8,607.93 and 1,578.66 is: 2,367.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.61 : 8,607.93 = 1,578.66 : x
  2. Step 2: Convert to fraction form
    5,738.61/8,607.93 = 1,578.66/x
  3. Step 3: Cross multiply
    5,738.61x = 8,607.93 × 1,578.66
  4. Step 4: Simplify right side
    5,738.61x = 13,588,994.77
  5. Step 5: Solve for x
    x = 13,588,994.77/5,738.61
  6. Step 6: Final answer
    x = 2,367.99

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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.