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Finding the Fourth Proportional to 5,215.83, 7,777.22 and 4,636.28

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Solution

The fourth proportional to 5,215.83, 7,777.22 and 4,636.28 is: 6,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.83 : 7,777.22 = 4,636.28 : x
  2. Step 2: Convert to fraction form
    5,215.83/7,777.22 = 4,636.28/x
  3. Step 3: Cross multiply
    5,215.83x = 7,777.22 × 4,636.28
  4. Step 4: Simplify right side
    5,215.83x = 36,057,307.47
  5. Step 5: Solve for x
    x = 36,057,307.47/5,215.83
  6. Step 6: Final answer
    x = 6,913.05

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