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Finding the Fourth Proportional to 4,356.78, 6,536.19 and 1,434.98

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Solution

The fourth proportional to 4,356.78, 6,536.19 and 1,434.98 is: 2,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.78 : 6,536.19 = 1,434.98 : x
  2. Step 2: Convert to fraction form
    4,356.78/6,536.19 = 1,434.98/x
  3. Step 3: Cross multiply
    4,356.78x = 6,536.19 × 1,434.98
  4. Step 4: Simplify right side
    4,356.78x = 9,379,269.25
  5. Step 5: Solve for x
    x = 9,379,269.25/4,356.78
  6. Step 6: Final answer
    x = 2,152.80

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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.