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Finding the Fourth Proportional to 5,654.10, 7,802.91 and 3,762.66

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Solution

The fourth proportional to 5,654.10, 7,802.91 and 3,762.66 is: 5,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.10 : 7,802.91 = 3,762.66 : x
  2. Step 2: Convert to fraction form
    5,654.10/7,802.91 = 3,762.66/x
  3. Step 3: Cross multiply
    5,654.10x = 7,802.91 × 3,762.66
  4. Step 4: Simplify right side
    5,654.10x = 29,359,697.34
  5. Step 5: Solve for x
    x = 29,359,697.34/5,654.10
  6. Step 6: Final answer
    x = 5,192.64

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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.