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Finding the Fourth Proportional to 4,998, 7,496.64 and 2,075.52

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Solution

The fourth proportional to 4,998, 7,496.64 and 2,075.52 is: 3,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998 : 7,496.64 = 2,075.52 : x
  2. Step 2: Convert to fraction form
    4,998/7,496.64 = 2,075.52/x
  3. Step 3: Cross multiply
    4,998x = 7,496.64 × 2,075.52
  4. Step 4: Simplify right side
    4,998x = 15,559,426.25
  5. Step 5: Solve for x
    x = 15,559,426.25/4,998
  6. Step 6: Final answer
    x = 3,113.13

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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.