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Finding the Fourth Proportional to 4,172.60, 6,253.98 and 2,323.24

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Solution

The fourth proportional to 4,172.60, 6,253.98 and 2,323.24 is: 3,482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.60 : 6,253.98 = 2,323.24 : x
  2. Step 2: Convert to fraction form
    4,172.60/6,253.98 = 2,323.24/x
  3. Step 3: Cross multiply
    4,172.60x = 6,253.98 × 2,323.24
  4. Step 4: Simplify right side
    4,172.60x = 14,529,496.50
  5. Step 5: Solve for x
    x = 14,529,496.50/4,172.60
  6. Step 6: Final answer
    x = 3,482.12

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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.