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Finding the Fourth Proportional to 3,472.34, 4,784.74 and 2,475.50

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Solution

The fourth proportional to 3,472.34, 4,784.74 and 2,475.50 is: 3,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.34 : 4,784.74 = 2,475.50 : x
  2. Step 2: Convert to fraction form
    3,472.34/4,784.74 = 2,475.50/x
  3. Step 3: Cross multiply
    3,472.34x = 4,784.74 × 2,475.50
  4. Step 4: Simplify right side
    3,472.34x = 11,844,623.87
  5. Step 5: Solve for x
    x = 11,844,623.87/3,472.34
  6. Step 6: Final answer
    x = 3,411.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.