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Finding the Fourth Proportional to 5,200.51, 7,172.62 and 4,603.63

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Solution

The fourth proportional to 5,200.51, 7,172.62 and 4,603.63 is: 6,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.51 : 7,172.62 = 4,603.63 : x
  2. Step 2: Convert to fraction form
    5,200.51/7,172.62 = 4,603.63/x
  3. Step 3: Cross multiply
    5,200.51x = 7,172.62 × 4,603.63
  4. Step 4: Simplify right side
    5,200.51x = 33,020,088.61
  5. Step 5: Solve for x
    x = 33,020,088.61/5,200.51
  6. Step 6: Final answer
    x = 6,349.39

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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.