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Finding the Fourth Proportional to 5,750.76, 8,624.01 and 2,052

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Solution

The fourth proportional to 5,750.76, 8,624.01 and 2,052 is: 3,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,750.76 : 8,624.01 = 2,052 : x
  2. Step 2: Convert to fraction form
    5,750.76/8,624.01 = 2,052/x
  3. Step 3: Cross multiply
    5,750.76x = 8,624.01 × 2,052
  4. Step 4: Simplify right side
    5,750.76x = 17,696,468.52
  5. Step 5: Solve for x
    x = 17,696,468.52/5,750.76
  6. Step 6: Final answer
    x = 3,077.24

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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.