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Finding the Fourth Proportional to 4,595.92, 6,894.64 and 2,133.20

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Solution

The fourth proportional to 4,595.92, 6,894.64 and 2,133.20 is: 3,200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.92 : 6,894.64 = 2,133.20 : x
  2. Step 2: Convert to fraction form
    4,595.92/6,894.64 = 2,133.20/x
  3. Step 3: Cross multiply
    4,595.92x = 6,894.64 × 2,133.20
  4. Step 4: Simplify right side
    4,595.92x = 14,707,646.05
  5. Step 5: Solve for x
    x = 14,707,646.05/4,595.92
  6. Step 6: Final answer
    x = 3,200.15

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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.