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Finding the Fourth Proportional to 3,342.61, 5,014.24 and 877.45

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Solution

The fourth proportional to 3,342.61, 5,014.24 and 877.45 is: 1,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.61 : 5,014.24 = 877.45 : x
  2. Step 2: Convert to fraction form
    3,342.61/5,014.24 = 877.45/x
  3. Step 3: Cross multiply
    3,342.61x = 5,014.24 × 877.45
  4. Step 4: Simplify right side
    3,342.61x = 4,399,744.89
  5. Step 5: Solve for x
    x = 4,399,744.89/3,342.61
  6. Step 6: Final answer
    x = 1,316.26

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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.