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Finding the Fourth Proportional to 3,810.40, 5,715.78 and 1,345.24

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Solution

The fourth proportional to 3,810.40, 5,715.78 and 1,345.24 is: 2,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.40 : 5,715.78 = 1,345.24 : x
  2. Step 2: Convert to fraction form
    3,810.40/5,715.78 = 1,345.24/x
  3. Step 3: Cross multiply
    3,810.40x = 5,715.78 × 1,345.24
  4. Step 4: Simplify right side
    3,810.40x = 7,689,095.89
  5. Step 5: Solve for x
    x = 7,689,095.89/3,810.40
  6. Step 6: Final answer
    x = 2,017.92

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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.