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Finding the Fourth Proportional to 4,292.94, 5,925.02 and 3,117.43

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Solution

The fourth proportional to 4,292.94, 5,925.02 and 3,117.43 is: 4,302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.94 : 5,925.02 = 3,117.43 : x
  2. Step 2: Convert to fraction form
    4,292.94/5,925.02 = 3,117.43/x
  3. Step 3: Cross multiply
    4,292.94x = 5,925.02 × 3,117.43
  4. Step 4: Simplify right side
    4,292.94x = 18,470,835.10
  5. Step 5: Solve for x
    x = 18,470,835.10/4,292.94
  6. Step 6: Final answer
    x = 4,302.61

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