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Finding the Fourth Proportional to 5,702.34, 8,548.02 and 4,031.25

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Solution

The fourth proportional to 5,702.34, 8,548.02 and 4,031.25 is: 6,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.34 : 8,548.02 = 4,031.25 : x
  2. Step 2: Convert to fraction form
    5,702.34/8,548.02 = 4,031.25/x
  3. Step 3: Cross multiply
    5,702.34x = 8,548.02 × 4,031.25
  4. Step 4: Simplify right side
    5,702.34x = 34,459,205.63
  5. Step 5: Solve for x
    x = 34,459,205.63/5,702.34
  6. Step 6: Final answer
    x = 6,042.99

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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.