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Finding the Fourth Proportional to 5,756.94, 8,637.84 and 2,838.51

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Solution

The fourth proportional to 5,756.94, 8,637.84 and 2,838.51 is: 4,258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.94 : 8,637.84 = 2,838.51 : x
  2. Step 2: Convert to fraction form
    5,756.94/8,637.84 = 2,838.51/x
  3. Step 3: Cross multiply
    5,756.94x = 8,637.84 × 2,838.51
  4. Step 4: Simplify right side
    5,756.94x = 24,518,595.22
  5. Step 5: Solve for x
    x = 24,518,595.22/5,756.94
  6. Step 6: Final answer
    x = 4,258.96

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