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Finding the Fourth Proportional to 4,298.46, 6,458.76 and 4,178.04

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Solution

The fourth proportional to 4,298.46, 6,458.76 and 4,178.04 is: 6,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.46 : 6,458.76 = 4,178.04 : x
  2. Step 2: Convert to fraction form
    4,298.46/6,458.76 = 4,178.04/x
  3. Step 3: Cross multiply
    4,298.46x = 6,458.76 × 4,178.04
  4. Step 4: Simplify right side
    4,298.46x = 26,984,957.63
  5. Step 5: Solve for x
    x = 26,984,957.63/4,298.46
  6. Step 6: Final answer
    x = 6,277.82

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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.