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Finding the Fourth Proportional to 3,810.50, 5,715.80 and 1,345.36

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Solution

The fourth proportional to 3,810.50, 5,715.80 and 1,345.36 is: 2,018.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.50 : 5,715.80 = 1,345.36 : x
  2. Step 2: Convert to fraction form
    3,810.50/5,715.80 = 1,345.36/x
  3. Step 3: Cross multiply
    3,810.50x = 5,715.80 × 1,345.36
  4. Step 4: Simplify right side
    3,810.50x = 7,689,808.69
  5. Step 5: Solve for x
    x = 7,689,808.69/3,810.50
  6. Step 6: Final answer
    x = 2,018.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.