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Finding the Fourth Proportional to 5,607.54, 7,740.46 and 4,557.78

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Solution

The fourth proportional to 5,607.54, 7,740.46 and 4,557.78 is: 6,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.54 : 7,740.46 = 4,557.78 : x
  2. Step 2: Convert to fraction form
    5,607.54/7,740.46 = 4,557.78/x
  3. Step 3: Cross multiply
    5,607.54x = 7,740.46 × 4,557.78
  4. Step 4: Simplify right side
    5,607.54x = 35,279,313.78
  5. Step 5: Solve for x
    x = 35,279,313.78/5,607.54
  6. Step 6: Final answer
    x = 6,291.41

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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.