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Finding the Fourth Proportional to 4,292.63, 5,923.54 and 2,378.32

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Solution

The fourth proportional to 4,292.63, 5,923.54 and 2,378.32 is: 3,281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.63 : 5,923.54 = 2,378.32 : x
  2. Step 2: Convert to fraction form
    4,292.63/5,923.54 = 2,378.32/x
  3. Step 3: Cross multiply
    4,292.63x = 5,923.54 × 2,378.32
  4. Step 4: Simplify right side
    4,292.63x = 14,088,081.82
  5. Step 5: Solve for x
    x = 14,088,081.82/4,292.63
  6. Step 6: Final answer
    x = 3,281.92

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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.