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Finding the Fourth Proportional to 3,683.61, 5,070.54 and 3,210.69

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Solution

The fourth proportional to 3,683.61, 5,070.54 and 3,210.69 is: 4,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.61 : 5,070.54 = 3,210.69 : x
  2. Step 2: Convert to fraction form
    3,683.61/5,070.54 = 3,210.69/x
  3. Step 3: Cross multiply
    3,683.61x = 5,070.54 × 3,210.69
  4. Step 4: Simplify right side
    3,683.61x = 16,279,914.75
  5. Step 5: Solve for x
    x = 16,279,914.75/3,683.61
  6. Step 6: Final answer
    x = 4,419.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.