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Finding the Fourth Proportional to 4,953.05, 7,429.58 and 4,625

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Solution

The fourth proportional to 4,953.05, 7,429.58 and 4,625 is: 6,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.05 : 7,429.58 = 4,625 : x
  2. Step 2: Convert to fraction form
    4,953.05/7,429.58 = 4,625/x
  3. Step 3: Cross multiply
    4,953.05x = 7,429.58 × 4,625
  4. Step 4: Simplify right side
    4,953.05x = 34,361,807.50
  5. Step 5: Solve for x
    x = 34,361,807.50/4,953.05
  6. Step 6: Final answer
    x = 6,937.50

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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.