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Finding the Fourth Proportional to 4,557.39, 6,838.10 and 4,360.56

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Solution

The fourth proportional to 4,557.39, 6,838.10 and 4,360.56 is: 6,542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557.39 : 6,838.10 = 4,360.56 : x
  2. Step 2: Convert to fraction form
    4,557.39/6,838.10 = 4,360.56/x
  3. Step 3: Cross multiply
    4,557.39x = 6,838.10 × 4,360.56
  4. Step 4: Simplify right side
    4,557.39x = 29,817,945.34
  5. Step 5: Solve for x
    x = 29,817,945.34/4,557.39
  6. Step 6: Final answer
    x = 6,542.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.