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Finding the Fourth Proportional to 5,075.84, 7,614 and 4,798.76

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Solution

The fourth proportional to 5,075.84, 7,614 and 4,798.76 is: 7,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.84 : 7,614 = 4,798.76 : x
  2. Step 2: Convert to fraction form
    5,075.84/7,614 = 4,798.76/x
  3. Step 3: Cross multiply
    5,075.84x = 7,614 × 4,798.76
  4. Step 4: Simplify right side
    5,075.84x = 36,537,758.64
  5. Step 5: Solve for x
    x = 36,537,758.64/5,075.84
  6. Step 6: Final answer
    x = 7,198.37

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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.