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Finding the Fourth Proportional to 5,632.92, 7,772.76 and 3,114.84

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Solution

The fourth proportional to 5,632.92, 7,772.76 and 3,114.84 is: 4,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.92 : 7,772.76 = 3,114.84 : x
  2. Step 2: Convert to fraction form
    5,632.92/7,772.76 = 3,114.84/x
  3. Step 3: Cross multiply
    5,632.92x = 7,772.76 × 3,114.84
  4. Step 4: Simplify right side
    5,632.92x = 24,210,903.76
  5. Step 5: Solve for x
    x = 24,210,903.76/5,632.92
  6. Step 6: Final answer
    x = 4,298.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.