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Finding the Fourth Proportional to 3,598.51, 5,398.44 and 1,407.11

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Solution

The fourth proportional to 3,598.51, 5,398.44 and 1,407.11 is: 2,110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.51 : 5,398.44 = 1,407.11 : x
  2. Step 2: Convert to fraction form
    3,598.51/5,398.44 = 1,407.11/x
  3. Step 3: Cross multiply
    3,598.51x = 5,398.44 × 1,407.11
  4. Step 4: Simplify right side
    3,598.51x = 7,596,198.91
  5. Step 5: Solve for x
    x = 7,596,198.91/3,598.51
  6. Step 6: Final answer
    x = 2,110.93

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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.