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Finding the Fourth Proportional to 4,316.96, 5,959.12 and 2,923.84

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Solution

The fourth proportional to 4,316.96, 5,959.12 and 2,923.84 is: 4,036.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.96 : 5,959.12 = 2,923.84 : x
  2. Step 2: Convert to fraction form
    4,316.96/5,959.12 = 2,923.84/x
  3. Step 3: Cross multiply
    4,316.96x = 5,959.12 × 2,923.84
  4. Step 4: Simplify right side
    4,316.96x = 17,423,513.42
  5. Step 5: Solve for x
    x = 17,423,513.42/4,316.96
  6. Step 6: Final answer
    x = 4,036.06

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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.