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Finding the Fourth Proportional to 4,752.84, 7,120.72 and 2,804

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Solution

The fourth proportional to 4,752.84, 7,120.72 and 2,804 is: 4,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.84 : 7,120.72 = 2,804 : x
  2. Step 2: Convert to fraction form
    4,752.84/7,120.72 = 2,804/x
  3. Step 3: Cross multiply
    4,752.84x = 7,120.72 × 2,804
  4. Step 4: Simplify right side
    4,752.84x = 19,966,498.88
  5. Step 5: Solve for x
    x = 19,966,498.88/4,752.84
  6. Step 6: Final answer
    x = 4,200.96

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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.