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Finding the Fourth Proportional to 4,322.47, 6,473.98 and 3,029.71

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Solution

The fourth proportional to 4,322.47, 6,473.98 and 3,029.71 is: 4,537.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.47 : 6,473.98 = 3,029.71 : x
  2. Step 2: Convert to fraction form
    4,322.47/6,473.98 = 3,029.71/x
  3. Step 3: Cross multiply
    4,322.47x = 6,473.98 × 3,029.71
  4. Step 4: Simplify right side
    4,322.47x = 19,614,281.95
  5. Step 5: Solve for x
    x = 19,614,281.95/4,322.47
  6. Step 6: Final answer
    x = 4,537.75

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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.