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Finding the Fourth Proportional to 5,294.19, 7,307.60 and 3,057.54

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Solution

The fourth proportional to 5,294.19, 7,307.60 and 3,057.54 is: 4,220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.19 : 7,307.60 = 3,057.54 : x
  2. Step 2: Convert to fraction form
    5,294.19/7,307.60 = 3,057.54/x
  3. Step 3: Cross multiply
    5,294.19x = 7,307.60 × 3,057.54
  4. Step 4: Simplify right side
    5,294.19x = 22,343,279.30
  5. Step 5: Solve for x
    x = 22,343,279.30/5,294.19
  6. Step 6: Final answer
    x = 4,220.34

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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.