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Finding the Fourth Proportional to 4,542, 6,814.08 and 1,464

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Solution

The fourth proportional to 4,542, 6,814.08 and 1,464 is: 2,196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542 : 6,814.08 = 1,464 : x
  2. Step 2: Convert to fraction form
    4,542/6,814.08 = 1,464/x
  3. Step 3: Cross multiply
    4,542x = 6,814.08 × 1,464
  4. Step 4: Simplify right side
    4,542x = 9,975,813.12
  5. Step 5: Solve for x
    x = 9,975,813.12/4,542
  6. Step 6: Final answer
    x = 2,196.35

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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.