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Finding the Fourth Proportional to 5,302.42, 7,317.54 and 2,945.00

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Solution

The fourth proportional to 5,302.42, 7,317.54 and 2,945.00 is: 4,064.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.42 : 7,317.54 = 2,945.00 : x
  2. Step 2: Convert to fraction form
    5,302.42/7,317.54 = 2,945.00/x
  3. Step 3: Cross multiply
    5,302.42x = 7,317.54 × 2,945.00
  4. Step 4: Simplify right side
    5,302.42x = 21,550,173.59
  5. Step 5: Solve for x
    x = 21,550,173.59/5,302.42
  6. Step 6: Final answer
    x = 4,064.22

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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.