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Finding the Fourth Proportional to 3,430.00, 4,733.43 and 1,858.10

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Solution

The fourth proportional to 3,430.00, 4,733.43 and 1,858.10 is: 2,564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.00 : 4,733.43 = 1,858.10 : x
  2. Step 2: Convert to fraction form
    3,430.00/4,733.43 = 1,858.10/x
  3. Step 3: Cross multiply
    3,430.00x = 4,733.43 × 1,858.10
  4. Step 4: Simplify right side
    3,430.00x = 8,795,168.12
  5. Step 5: Solve for x
    x = 8,795,168.12/3,430.00
  6. Step 6: Final answer
    x = 2,564.19

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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.