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Finding the Fourth Proportional to 4,709.61, 7,064.94 and 2,075.99

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Solution

The fourth proportional to 4,709.61, 7,064.94 and 2,075.99 is: 3,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.61 : 7,064.94 = 2,075.99 : x
  2. Step 2: Convert to fraction form
    4,709.61/7,064.94 = 2,075.99/x
  3. Step 3: Cross multiply
    4,709.61x = 7,064.94 × 2,075.99
  4. Step 4: Simplify right side
    4,709.61x = 14,666,709.47
  5. Step 5: Solve for x
    x = 14,666,709.47/4,709.61
  6. Step 6: Final answer
    x = 3,114.21

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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.