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Finding the Fourth Proportional to 4,553, 6,830.58 and 1,475

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Solution

The fourth proportional to 4,553, 6,830.58 and 1,475 is: 2,212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553 : 6,830.58 = 1,475 : x
  2. Step 2: Convert to fraction form
    4,553/6,830.58 = 1,475/x
  3. Step 3: Cross multiply
    4,553x = 6,830.58 × 1,475
  4. Step 4: Simplify right side
    4,553x = 10,075,105.50
  5. Step 5: Solve for x
    x = 10,075,105.50/4,553
  6. Step 6: Final answer
    x = 2,212.85

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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.