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Finding the Fourth Proportional to 5,597.66, 8,396.58 and 1,702.28

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Solution

The fourth proportional to 5,597.66, 8,396.58 and 1,702.28 is: 2,553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.66 : 8,396.58 = 1,702.28 : x
  2. Step 2: Convert to fraction form
    5,597.66/8,396.58 = 1,702.28/x
  3. Step 3: Cross multiply
    5,597.66x = 8,396.58 × 1,702.28
  4. Step 4: Simplify right side
    5,597.66x = 14,293,330.20
  5. Step 5: Solve for x
    x = 14,293,330.20/5,597.66
  6. Step 6: Final answer
    x = 2,553.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.