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Finding the Fourth Proportional to 4,952.86, 7,411.58 and 4,302.39

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Solution

The fourth proportional to 4,952.86, 7,411.58 and 4,302.39 is: 6,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.86 : 7,411.58 = 4,302.39 : x
  2. Step 2: Convert to fraction form
    4,952.86/7,411.58 = 4,302.39/x
  3. Step 3: Cross multiply
    4,952.86x = 7,411.58 × 4,302.39
  4. Step 4: Simplify right side
    4,952.86x = 31,887,530.09
  5. Step 5: Solve for x
    x = 31,887,530.09/4,952.86
  6. Step 6: Final answer
    x = 6,438.21

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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.