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Finding the Fourth Proportional to 5,598.09, 8,397.14 and 1,702.50

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Solution

The fourth proportional to 5,598.09, 8,397.14 and 1,702.50 is: 2,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,598.09 : 8,397.14 = 1,702.50 : x
  2. Step 2: Convert to fraction form
    5,598.09/8,397.14 = 1,702.50/x
  3. Step 3: Cross multiply
    5,598.09x = 8,397.14 × 1,702.50
  4. Step 4: Simplify right side
    5,598.09x = 14,296,122.34
  5. Step 5: Solve for x
    x = 14,296,122.34/5,598.09
  6. Step 6: Final answer
    x = 2,553.75

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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.