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Finding the Fourth Proportional to 4,309.53, 6,463.47 and 1,188.76

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Solution

The fourth proportional to 4,309.53, 6,463.47 and 1,188.76 is: 1,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.53 : 6,463.47 = 1,188.76 : x
  2. Step 2: Convert to fraction form
    4,309.53/6,463.47 = 1,188.76/x
  3. Step 3: Cross multiply
    4,309.53x = 6,463.47 × 1,188.76
  4. Step 4: Simplify right side
    4,309.53x = 7,683,514.60
  5. Step 5: Solve for x
    x = 7,683,514.60/4,309.53
  6. Step 6: Final answer
    x = 1,782.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.