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Finding the Fourth Proportional to 3,597.89, 5,395.01 and 1,407.24

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Solution

The fourth proportional to 3,597.89, 5,395.01 and 1,407.24 is: 2,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.89 : 5,395.01 = 1,407.24 : x
  2. Step 2: Convert to fraction form
    3,597.89/5,395.01 = 1,407.24/x
  3. Step 3: Cross multiply
    3,597.89x = 5,395.01 × 1,407.24
  4. Step 4: Simplify right side
    3,597.89x = 7,592,066.84
  5. Step 5: Solve for x
    x = 7,592,066.84/3,597.89
  6. Step 6: Final answer
    x = 2,110.15

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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.