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Finding the Fourth Proportional to 3,486.11, 5,225.96 and 1,510.50

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Solution

The fourth proportional to 3,486.11, 5,225.96 and 1,510.50 is: 2,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.11 : 5,225.96 = 1,510.50 : x
  2. Step 2: Convert to fraction form
    3,486.11/5,225.96 = 1,510.50/x
  3. Step 3: Cross multiply
    3,486.11x = 5,225.96 × 1,510.50
  4. Step 4: Simplify right side
    3,486.11x = 7,893,812.58
  5. Step 5: Solve for x
    x = 7,893,812.58/3,486.11
  6. Step 6: Final answer
    x = 2,264.36

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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.