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Finding the Fourth Proportional to 3,590.84, 5,387.34 and 1,126.02

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Solution

The fourth proportional to 3,590.84, 5,387.34 and 1,126.02 is: 1,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.84 : 5,387.34 = 1,126.02 : x
  2. Step 2: Convert to fraction form
    3,590.84/5,387.34 = 1,126.02/x
  3. Step 3: Cross multiply
    3,590.84x = 5,387.34 × 1,126.02
  4. Step 4: Simplify right side
    3,590.84x = 6,066,252.59
  5. Step 5: Solve for x
    x = 6,066,252.59/3,590.84
  6. Step 6: Final answer
    x = 1,689.37

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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.