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Finding the Fourth Proportional to 3,492.37, 5,239.37 and 1,545.13

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Solution

The fourth proportional to 3,492.37, 5,239.37 and 1,545.13 is: 2,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.37 : 5,239.37 = 1,545.13 : x
  2. Step 2: Convert to fraction form
    3,492.37/5,239.37 = 1,545.13/x
  3. Step 3: Cross multiply
    3,492.37x = 5,239.37 × 1,545.13
  4. Step 4: Simplify right side
    3,492.37x = 8,095,507.77
  5. Step 5: Solve for x
    x = 8,095,507.77/3,492.37
  6. Step 6: Final answer
    x = 2,318.06

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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.