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Finding the Fourth Proportional to 3,607.50, 5,405.10 and 2,562.34

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Solution

The fourth proportional to 3,607.50, 5,405.10 and 2,562.34 is: 3,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.50 : 5,405.10 = 2,562.34 : x
  2. Step 2: Convert to fraction form
    3,607.50/5,405.10 = 2,562.34/x
  3. Step 3: Cross multiply
    3,607.50x = 5,405.10 × 2,562.34
  4. Step 4: Simplify right side
    3,607.50x = 13,849,703.93
  5. Step 5: Solve for x
    x = 13,849,703.93/3,607.50
  6. Step 6: Final answer
    x = 3,839.14

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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.