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Finding the Fourth Proportional to 2,835.38, 4,242.38 and 2,547.62

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Solution

The fourth proportional to 2,835.38, 4,242.38 and 2,547.62 is: 3,811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.38 : 4,242.38 = 2,547.62 : x
  2. Step 2: Convert to fraction form
    2,835.38/4,242.38 = 2,547.62/x
  3. Step 3: Cross multiply
    2,835.38x = 4,242.38 × 2,547.62
  4. Step 4: Simplify right side
    2,835.38x = 10,807,938.19
  5. Step 5: Solve for x
    x = 10,807,938.19/2,835.38
  6. Step 6: Final answer
    x = 3,811.82

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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.