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Finding the Fourth Proportional to 5,581.85, 7,702.98 and 3,064.07

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Solution

The fourth proportional to 5,581.85, 7,702.98 and 3,064.07 is: 4,228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.85 : 7,702.98 = 3,064.07 : x
  2. Step 2: Convert to fraction form
    5,581.85/7,702.98 = 3,064.07/x
  3. Step 3: Cross multiply
    5,581.85x = 7,702.98 × 3,064.07
  4. Step 4: Simplify right side
    5,581.85x = 23,602,431.41
  5. Step 5: Solve for x
    x = 23,602,431.41/5,581.85
  6. Step 6: Final answer
    x = 4,228.42

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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.