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Finding the Fourth Proportional to 4,710.42, 6,499.28 and 3,032.39

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Solution

The fourth proportional to 4,710.42, 6,499.28 and 3,032.39 is: 4,183.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.42 : 6,499.28 = 3,032.39 : x
  2. Step 2: Convert to fraction form
    4,710.42/6,499.28 = 3,032.39/x
  3. Step 3: Cross multiply
    4,710.42x = 6,499.28 × 3,032.39
  4. Step 4: Simplify right side
    4,710.42x = 19,708,304.02
  5. Step 5: Solve for x
    x = 19,708,304.02/4,710.42
  6. Step 6: Final answer
    x = 4,183.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.