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Finding the Fourth Proportional to 4,636.84, 6,956.40 and 1,349.97

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Solution

The fourth proportional to 4,636.84, 6,956.40 and 1,349.97 is: 2,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.84 : 6,956.40 = 1,349.97 : x
  2. Step 2: Convert to fraction form
    4,636.84/6,956.40 = 1,349.97/x
  3. Step 3: Cross multiply
    4,636.84x = 6,956.40 × 1,349.97
  4. Step 4: Simplify right side
    4,636.84x = 9,390,931.31
  5. Step 5: Solve for x
    x = 9,390,931.31/4,636.84
  6. Step 6: Final answer
    x = 2,025.29

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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.