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Finding the Fourth Proportional to 4,210.53, 5,810.87 and 2,322.48

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Solution

The fourth proportional to 4,210.53, 5,810.87 and 2,322.48 is: 3,205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.53 : 5,810.87 = 2,322.48 : x
  2. Step 2: Convert to fraction form
    4,210.53/5,810.87 = 2,322.48/x
  3. Step 3: Cross multiply
    4,210.53x = 5,810.87 × 2,322.48
  4. Step 4: Simplify right side
    4,210.53x = 13,495,629.36
  5. Step 5: Solve for x
    x = 13,495,629.36/4,210.53
  6. Step 6: Final answer
    x = 3,205.21

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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.