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Finding the Fourth Proportional to 5,653.16, 7,808.63 and 4,342.98

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Solution

The fourth proportional to 5,653.16, 7,808.63 and 4,342.98 is: 5,998.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.16 : 7,808.63 = 4,342.98 : x
  2. Step 2: Convert to fraction form
    5,653.16/7,808.63 = 4,342.98/x
  3. Step 3: Cross multiply
    5,653.16x = 7,808.63 × 4,342.98
  4. Step 4: Simplify right side
    5,653.16x = 33,912,702.20
  5. Step 5: Solve for x
    x = 33,912,702.20/5,653.16
  6. Step 6: Final answer
    x = 5,998.90

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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.