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Finding the Fourth Proportional to 3,482.99, 5,223.36 and 1,142.36

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Solution

The fourth proportional to 3,482.99, 5,223.36 and 1,142.36 is: 1,713.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.99 : 5,223.36 = 1,142.36 : x
  2. Step 2: Convert to fraction form
    3,482.99/5,223.36 = 1,142.36/x
  3. Step 3: Cross multiply
    3,482.99x = 5,223.36 × 1,142.36
  4. Step 4: Simplify right side
    3,482.99x = 5,966,931.41
  5. Step 5: Solve for x
    x = 5,966,931.41/3,482.99
  6. Step 6: Final answer
    x = 1,713.17

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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.