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Finding the Fourth Proportional to 5,702.72, 7,869.72 and 3,184.80

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Solution

The fourth proportional to 5,702.72, 7,869.72 and 3,184.80 is: 4,395.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.72 : 7,869.72 = 3,184.80 : x
  2. Step 2: Convert to fraction form
    5,702.72/7,869.72 = 3,184.80/x
  3. Step 3: Cross multiply
    5,702.72x = 7,869.72 × 3,184.80
  4. Step 4: Simplify right side
    5,702.72x = 25,063,484.26
  5. Step 5: Solve for x
    x = 25,063,484.26/5,702.72
  6. Step 6: Final answer
    x = 4,395.01

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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.