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Finding the Fourth Proportional to 3,530.02, 5,294.19 and 1,064.25

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Solution

The fourth proportional to 3,530.02, 5,294.19 and 1,064.25 is: 1,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.02 : 5,294.19 = 1,064.25 : x
  2. Step 2: Convert to fraction form
    3,530.02/5,294.19 = 1,064.25/x
  3. Step 3: Cross multiply
    3,530.02x = 5,294.19 × 1,064.25
  4. Step 4: Simplify right side
    3,530.02x = 5,634,341.71
  5. Step 5: Solve for x
    x = 5,634,341.71/3,530.02
  6. Step 6: Final answer
    x = 1,596.12

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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.