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Finding the Fourth Proportional to 3,210.71, 4,430.57 and 1,884.33

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Solution

The fourth proportional to 3,210.71, 4,430.57 and 1,884.33 is: 2,600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.71 : 4,430.57 = 1,884.33 : x
  2. Step 2: Convert to fraction form
    3,210.71/4,430.57 = 1,884.33/x
  3. Step 3: Cross multiply
    3,210.71x = 4,430.57 × 1,884.33
  4. Step 4: Simplify right side
    3,210.71x = 8,348,646.55
  5. Step 5: Solve for x
    x = 8,348,646.55/3,210.71
  6. Step 6: Final answer
    x = 2,600.25

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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.