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Finding the Fourth Proportional to 3,637.98, 5,459.70 and 1,417.17

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Solution

The fourth proportional to 3,637.98, 5,459.70 and 1,417.17 is: 2,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.98 : 5,459.70 = 1,417.17 : x
  2. Step 2: Convert to fraction form
    3,637.98/5,459.70 = 1,417.17/x
  3. Step 3: Cross multiply
    3,637.98x = 5,459.70 × 1,417.17
  4. Step 4: Simplify right side
    3,637.98x = 7,737,323.05
  5. Step 5: Solve for x
    x = 7,737,323.05/3,637.98
  6. Step 6: Final answer
    x = 2,126.82

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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.