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Finding the Fourth Proportional to 5,307.50, 7,905.18 and 5,029.94

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Solution

The fourth proportional to 5,307.50, 7,905.18 and 5,029.94 is: 7,491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.50 : 7,905.18 = 5,029.94 : x
  2. Step 2: Convert to fraction form
    5,307.50/7,905.18 = 5,029.94/x
  3. Step 3: Cross multiply
    5,307.50x = 7,905.18 × 5,029.94
  4. Step 4: Simplify right side
    5,307.50x = 39,762,581.09
  5. Step 5: Solve for x
    x = 39,762,581.09/5,307.50
  6. Step 6: Final answer
    x = 7,491.77

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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.