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Finding the Fourth Proportional to 5,702.34, 7,867.32 and 3,342.84

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Solution

The fourth proportional to 5,702.34, 7,867.32 and 3,342.84 is: 4,612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.34 : 7,867.32 = 3,342.84 : x
  2. Step 2: Convert to fraction form
    5,702.34/7,867.32 = 3,342.84/x
  3. Step 3: Cross multiply
    5,702.34x = 7,867.32 × 3,342.84
  4. Step 4: Simplify right side
    5,702.34x = 26,299,191.99
  5. Step 5: Solve for x
    x = 26,299,191.99/5,702.34
  6. Step 6: Final answer
    x = 4,612.00

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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.