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Finding the Fourth Proportional to 3,859.17, 5,788.77 and 937.50

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Solution

The fourth proportional to 3,859.17, 5,788.77 and 937.50 is: 1,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.17 : 5,788.77 = 937.50 : x
  2. Step 2: Convert to fraction form
    3,859.17/5,788.77 = 937.50/x
  3. Step 3: Cross multiply
    3,859.17x = 5,788.77 × 937.50
  4. Step 4: Simplify right side
    3,859.17x = 5,426,971.88
  5. Step 5: Solve for x
    x = 5,426,971.88/3,859.17
  6. Step 6: Final answer
    x = 1,406.25

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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.