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Finding the Fourth Proportional to 5,153.46, 7,130.52 and 4,491.69

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Solution

The fourth proportional to 5,153.46, 7,130.52 and 4,491.69 is: 6,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.46 : 7,130.52 = 4,491.69 : x
  2. Step 2: Convert to fraction form
    5,153.46/7,130.52 = 4,491.69/x
  3. Step 3: Cross multiply
    5,153.46x = 7,130.52 × 4,491.69
  4. Step 4: Simplify right side
    5,153.46x = 32,028,085.38
  5. Step 5: Solve for x
    x = 32,028,085.38/5,153.46
  6. Step 6: Final answer
    x = 6,214.87

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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.