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Finding the Fourth Proportional to 4,652.84, 6,980.28 and 1,532.72

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Solution

The fourth proportional to 4,652.84, 6,980.28 and 1,532.72 is: 2,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.84 : 6,980.28 = 1,532.72 : x
  2. Step 2: Convert to fraction form
    4,652.84/6,980.28 = 1,532.72/x
  3. Step 3: Cross multiply
    4,652.84x = 6,980.28 × 1,532.72
  4. Step 4: Simplify right side
    4,652.84x = 10,698,814.76
  5. Step 5: Solve for x
    x = 10,698,814.76/4,652.84
  6. Step 6: Final answer
    x = 2,299.42

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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.