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Finding the Fourth Proportional to 5,557.98, 7,669.19 and 4,214.34

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Solution

The fourth proportional to 5,557.98, 7,669.19 and 4,214.34 is: 5,815.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,557.98 : 7,669.19 = 4,214.34 : x
  2. Step 2: Convert to fraction form
    5,557.98/7,669.19 = 4,214.34/x
  3. Step 3: Cross multiply
    5,557.98x = 7,669.19 × 4,214.34
  4. Step 4: Simplify right side
    5,557.98x = 32,320,574.18
  5. Step 5: Solve for x
    x = 32,320,574.18/5,557.98
  6. Step 6: Final answer
    x = 5,815.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.