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Finding the Fourth Proportional to 3,421.08, 4,703.16 and 3,400.02

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Solution

The fourth proportional to 3,421.08, 4,703.16 and 3,400.02 is: 4,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.08 : 4,703.16 = 3,400.02 : x
  2. Step 2: Convert to fraction form
    3,421.08/4,703.16 = 3,400.02/x
  3. Step 3: Cross multiply
    3,421.08x = 4,703.16 × 3,400.02
  4. Step 4: Simplify right side
    3,421.08x = 15,990,838.06
  5. Step 5: Solve for x
    x = 15,990,838.06/3,421.08
  6. Step 6: Final answer
    x = 4,674.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.