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Finding the Fourth Proportional to 4,781.36, 6,580.30 and 4,045

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Solution

The fourth proportional to 4,781.36, 6,580.30 and 4,045 is: 5,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.36 : 6,580.30 = 4,045 : x
  2. Step 2: Convert to fraction form
    4,781.36/6,580.30 = 4,045/x
  3. Step 3: Cross multiply
    4,781.36x = 6,580.30 × 4,045
  4. Step 4: Simplify right side
    4,781.36x = 26,617,313.50
  5. Step 5: Solve for x
    x = 26,617,313.50/4,781.36
  6. Step 6: Final answer
    x = 5,566.89

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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.