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Finding the Fourth Proportional to 5,302.19, 7,349.63 and 5,213.95

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Solution

The fourth proportional to 5,302.19, 7,349.63 and 5,213.95 is: 7,227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.19 : 7,349.63 = 5,213.95 : x
  2. Step 2: Convert to fraction form
    5,302.19/7,349.63 = 5,213.95/x
  3. Step 3: Cross multiply
    5,302.19x = 7,349.63 × 5,213.95
  4. Step 4: Simplify right side
    5,302.19x = 38,320,603.34
  5. Step 5: Solve for x
    x = 38,320,603.34/5,302.19
  6. Step 6: Final answer
    x = 7,227.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.