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Finding the Fourth Proportional to 4,588.40, 6,887.88 and 2,858

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Solution

The fourth proportional to 4,588.40, 6,887.88 and 2,858 is: 4,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.40 : 6,887.88 = 2,858 : x
  2. Step 2: Convert to fraction form
    4,588.40/6,887.88 = 2,858/x
  3. Step 3: Cross multiply
    4,588.40x = 6,887.88 × 2,858
  4. Step 4: Simplify right side
    4,588.40x = 19,685,561.04
  5. Step 5: Solve for x
    x = 19,685,561.04/4,588.40
  6. Step 6: Final answer
    x = 4,290.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.