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Finding the Fourth Proportional to 4,697.89, 7,044.10 and 1,776.42

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Solution

The fourth proportional to 4,697.89, 7,044.10 and 1,776.42 is: 2,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.89 : 7,044.10 = 1,776.42 : x
  2. Step 2: Convert to fraction form
    4,697.89/7,044.10 = 1,776.42/x
  3. Step 3: Cross multiply
    4,697.89x = 7,044.10 × 1,776.42
  4. Step 4: Simplify right side
    4,697.89x = 12,513,280.12
  5. Step 5: Solve for x
    x = 12,513,280.12/4,697.89
  6. Step 6: Final answer
    x = 2,663.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.