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Finding the Fourth Proportional to 4,598, 6,897.02 and 1,135.25

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Solution

The fourth proportional to 4,598, 6,897.02 and 1,135.25 is: 1,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598 : 6,897.02 = 1,135.25 : x
  2. Step 2: Convert to fraction form
    4,598/6,897.02 = 1,135.25/x
  3. Step 3: Cross multiply
    4,598x = 6,897.02 × 1,135.25
  4. Step 4: Simplify right side
    4,598x = 7,829,839.12
  5. Step 5: Solve for x
    x = 7,829,839.12/4,598
  6. Step 6: Final answer
    x = 1,702.88

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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.