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Finding the Fourth Proportional to 5,710.41, 7,880.22 and 5,542.74

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Solution

The fourth proportional to 5,710.41, 7,880.22 and 5,542.74 is: 7,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.41 : 7,880.22 = 5,542.74 : x
  2. Step 2: Convert to fraction form
    5,710.41/7,880.22 = 5,542.74/x
  3. Step 3: Cross multiply
    5,710.41x = 7,880.22 × 5,542.74
  4. Step 4: Simplify right side
    5,710.41x = 43,678,010.60
  5. Step 5: Solve for x
    x = 43,678,010.60/5,710.41
  6. Step 6: Final answer
    x = 7,648.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.