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Finding the Fourth Proportional to 5,342.80, 7,373.36 and 2,985

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Solution

The fourth proportional to 5,342.80, 7,373.36 and 2,985 is: 4,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.80 : 7,373.36 = 2,985 : x
  2. Step 2: Convert to fraction form
    5,342.80/7,373.36 = 2,985/x
  3. Step 3: Cross multiply
    5,342.80x = 7,373.36 × 2,985
  4. Step 4: Simplify right side
    5,342.80x = 22,009,479.60
  5. Step 5: Solve for x
    x = 22,009,479.60/5,342.80
  6. Step 6: Final answer
    x = 4,119.47

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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.