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Finding the Fourth Proportional to 4,662.84, 6,988.50 and 2,931.96

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Solution

The fourth proportional to 4,662.84, 6,988.50 and 2,931.96 is: 4,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.84 : 6,988.50 = 2,931.96 : x
  2. Step 2: Convert to fraction form
    4,662.84/6,988.50 = 2,931.96/x
  3. Step 3: Cross multiply
    4,662.84x = 6,988.50 × 2,931.96
  4. Step 4: Simplify right side
    4,662.84x = 20,490,002.46
  5. Step 5: Solve for x
    x = 20,490,002.46/4,662.84
  6. Step 6: Final answer
    x = 4,394.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.