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Finding the Fourth Proportional to 5,330.58, 7,942.28 and 5,032.50

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Solution

The fourth proportional to 5,330.58, 7,942.28 and 5,032.50 is: 7,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330.58 : 7,942.28 = 5,032.50 : x
  2. Step 2: Convert to fraction form
    5,330.58/7,942.28 = 5,032.50/x
  3. Step 3: Cross multiply
    5,330.58x = 7,942.28 × 5,032.50
  4. Step 4: Simplify right side
    5,330.58x = 39,969,498.94
  5. Step 5: Solve for x
    x = 39,969,498.94/5,330.58
  6. Step 6: Final answer
    x = 7,498.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.