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Finding the Fourth Proportional to 4,295.50, 6,437.48 and 1,829.66

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Solution

The fourth proportional to 4,295.50, 6,437.48 and 1,829.66 is: 2,742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.50 : 6,437.48 = 1,829.66 : x
  2. Step 2: Convert to fraction form
    4,295.50/6,437.48 = 1,829.66/x
  3. Step 3: Cross multiply
    4,295.50x = 6,437.48 × 1,829.66
  4. Step 4: Simplify right side
    4,295.50x = 11,778,358.32
  5. Step 5: Solve for x
    x = 11,778,358.32/4,295.50
  6. Step 6: Final answer
    x = 2,742.02

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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.