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Finding the Fourth Proportional to 4,702.70, 7,054.05 and 4,292.30

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Solution

The fourth proportional to 4,702.70, 7,054.05 and 4,292.30 is: 6,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.70 : 7,054.05 = 4,292.30 : x
  2. Step 2: Convert to fraction form
    4,702.70/7,054.05 = 4,292.30/x
  3. Step 3: Cross multiply
    4,702.70x = 7,054.05 × 4,292.30
  4. Step 4: Simplify right side
    4,702.70x = 30,278,098.82
  5. Step 5: Solve for x
    x = 30,278,098.82/4,702.70
  6. Step 6: Final answer
    x = 6,438.45

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Similar ratio
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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.