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Finding the Fourth Proportional to 5,437.74, 7,505.56 and 3,200.34

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Solution

The fourth proportional to 5,437.74, 7,505.56 and 3,200.34 is: 4,417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437.74 : 7,505.56 = 3,200.34 : x
  2. Step 2: Convert to fraction form
    5,437.74/7,505.56 = 3,200.34/x
  3. Step 3: Cross multiply
    5,437.74x = 7,505.56 × 3,200.34
  4. Step 4: Simplify right side
    5,437.74x = 24,020,343.89
  5. Step 5: Solve for x
    x = 24,020,343.89/5,437.74
  6. Step 6: Final answer
    x = 4,417.34

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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.