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Finding the Fourth Proportional to 4,564.67, 6,296.00 and 4,412.25

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Solution

The fourth proportional to 4,564.67, 6,296.00 and 4,412.25 is: 6,085.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.67 : 6,296.00 = 4,412.25 : x
  2. Step 2: Convert to fraction form
    4,564.67/6,296.00 = 4,412.25/x
  3. Step 3: Cross multiply
    4,564.67x = 6,296.00 × 4,412.25
  4. Step 4: Simplify right side
    4,564.67x = 27,779,503.94
  5. Step 5: Solve for x
    x = 27,779,503.94/4,564.67
  6. Step 6: Final answer
    x = 6,085.77

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Why These Related Problems?

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