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Finding the Fourth Proportional to 4,909.16, 7,361.58 and 1,829

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Solution

The fourth proportional to 4,909.16, 7,361.58 and 1,829 is: 2,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.16 : 7,361.58 = 1,829 : x
  2. Step 2: Convert to fraction form
    4,909.16/7,361.58 = 1,829/x
  3. Step 3: Cross multiply
    4,909.16x = 7,361.58 × 1,829
  4. Step 4: Simplify right side
    4,909.16x = 13,464,329.82
  5. Step 5: Solve for x
    x = 13,464,329.82/4,909.16
  6. Step 6: Final answer
    x = 2,742.70

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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.