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Finding the Fourth Proportional to 5,597.64, 8,396.64 and 1,702.08

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Solution

The fourth proportional to 5,597.64, 8,396.64 and 1,702.08 is: 2,553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.64 : 8,396.64 = 1,702.08 : x
  2. Step 2: Convert to fraction form
    5,597.64/8,396.64 = 1,702.08/x
  3. Step 3: Cross multiply
    5,597.64x = 8,396.64 × 1,702.08
  4. Step 4: Simplify right side
    5,597.64x = 14,291,753.01
  5. Step 5: Solve for x
    x = 14,291,753.01/5,597.64
  6. Step 6: Final answer
    x = 2,553.17

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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.