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Finding the Fourth Proportional to 4,458.94, 6,684.84 and 2,117.76

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Solution

The fourth proportional to 4,458.94, 6,684.84 and 2,117.76 is: 3,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458.94 : 6,684.84 = 2,117.76 : x
  2. Step 2: Convert to fraction form
    4,458.94/6,684.84 = 2,117.76/x
  3. Step 3: Cross multiply
    4,458.94x = 6,684.84 × 2,117.76
  4. Step 4: Simplify right side
    4,458.94x = 14,156,886.76
  5. Step 5: Solve for x
    x = 14,156,886.76/4,458.94
  6. Step 6: Final answer
    x = 3,174.94

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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.