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Finding the Fourth Proportional to 5,946.42, 8,913.54 and 4,298.88

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Solution

The fourth proportional to 5,946.42, 8,913.54 and 4,298.88 is: 6,443.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.42 : 8,913.54 = 4,298.88 : x
  2. Step 2: Convert to fraction form
    5,946.42/8,913.54 = 4,298.88/x
  3. Step 3: Cross multiply
    5,946.42x = 8,913.54 × 4,298.88
  4. Step 4: Simplify right side
    5,946.42x = 38,318,238.84
  5. Step 5: Solve for x
    x = 38,318,238.84/5,946.42
  6. Step 6: Final answer
    x = 6,443.92

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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.