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Finding the Fourth Proportional to 3,530.76, 5,294.08 and 1,064.84

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Solution

The fourth proportional to 3,530.76, 5,294.08 and 1,064.84 is: 1,596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.76 : 5,294.08 = 1,064.84 : x
  2. Step 2: Convert to fraction form
    3,530.76/5,294.08 = 1,064.84/x
  3. Step 3: Cross multiply
    3,530.76x = 5,294.08 × 1,064.84
  4. Step 4: Simplify right side
    3,530.76x = 5,637,348.15
  5. Step 5: Solve for x
    x = 5,637,348.15/3,530.76
  6. Step 6: Final answer
    x = 1,596.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.