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Finding the Fourth Proportional to 4,648.53, 6,973.16 and 1,185.75

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Solution

The fourth proportional to 4,648.53, 6,973.16 and 1,185.75 is: 1,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.53 : 6,973.16 = 1,185.75 : x
  2. Step 2: Convert to fraction form
    4,648.53/6,973.16 = 1,185.75/x
  3. Step 3: Cross multiply
    4,648.53x = 6,973.16 × 1,185.75
  4. Step 4: Simplify right side
    4,648.53x = 8,268,424.47
  5. Step 5: Solve for x
    x = 8,268,424.47/4,648.53
  6. Step 6: Final answer
    x = 1,778.72

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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.