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Finding the Fourth Proportional to 3,530.84, 5,296.80 and 1,158.18

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Solution

The fourth proportional to 3,530.84, 5,296.80 and 1,158.18 is: 1,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.84 : 5,296.80 = 1,158.18 : x
  2. Step 2: Convert to fraction form
    3,530.84/5,296.80 = 1,158.18/x
  3. Step 3: Cross multiply
    3,530.84x = 5,296.80 × 1,158.18
  4. Step 4: Simplify right side
    3,530.84x = 6,134,647.82
  5. Step 5: Solve for x
    x = 6,134,647.82/3,530.84
  6. Step 6: Final answer
    x = 1,737.45

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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.