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Finding the Fourth Proportional to 5,702.60, 8,554.23 and 5,392.31

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Solution

The fourth proportional to 5,702.60, 8,554.23 and 5,392.31 is: 8,088.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.60 : 8,554.23 = 5,392.31 : x
  2. Step 2: Convert to fraction form
    5,702.60/8,554.23 = 5,392.31/x
  3. Step 3: Cross multiply
    5,702.60x = 8,554.23 × 5,392.31
  4. Step 4: Simplify right side
    5,702.60x = 46,127,033.01
  5. Step 5: Solve for x
    x = 46,127,033.01/5,702.60
  6. Step 6: Final answer
    x = 8,088.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.