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Finding the Fourth Proportional to 3,804.04, 5,706.42 and 1,495

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Solution

The fourth proportional to 3,804.04, 5,706.42 and 1,495 is: 2,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.04 : 5,706.42 = 1,495 : x
  2. Step 2: Convert to fraction form
    3,804.04/5,706.42 = 1,495/x
  3. Step 3: Cross multiply
    3,804.04x = 5,706.42 × 1,495
  4. Step 4: Simplify right side
    3,804.04x = 8,531,097.90
  5. Step 5: Solve for x
    x = 8,531,097.90/3,804.04
  6. Step 6: Final answer
    x = 2,242.64

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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.