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Finding the Fourth Proportional to 4,308.84, 6,463.03 and 1,188.87

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Solution

The fourth proportional to 4,308.84, 6,463.03 and 1,188.87 is: 1,783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.84 : 6,463.03 = 1,188.87 : x
  2. Step 2: Convert to fraction form
    4,308.84/6,463.03 = 1,188.87/x
  3. Step 3: Cross multiply
    4,308.84x = 6,463.03 × 1,188.87
  4. Step 4: Simplify right side
    4,308.84x = 7,683,702.48
  5. Step 5: Solve for x
    x = 7,683,702.48/4,308.84
  6. Step 6: Final answer
    x = 1,783.24

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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.