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Finding the Fourth Proportional to 4,295.65, 6,443.47 and 1,175.53

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Solution

The fourth proportional to 4,295.65, 6,443.47 and 1,175.53 is: 1,763.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.65 : 6,443.47 = 1,175.53 : x
  2. Step 2: Convert to fraction form
    4,295.65/6,443.47 = 1,175.53/x
  3. Step 3: Cross multiply
    4,295.65x = 6,443.47 × 1,175.53
  4. Step 4: Simplify right side
    4,295.65x = 7,574,465.85
  5. Step 5: Solve for x
    x = 7,574,465.85/4,295.65
  6. Step 6: Final answer
    x = 1,763.29

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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.