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Finding the Fourth Proportional to 5,760.66, 8,596.04 and 5,140.10

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Solution

The fourth proportional to 5,760.66, 8,596.04 and 5,140.10 is: 7,670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.66 : 8,596.04 = 5,140.10 : x
  2. Step 2: Convert to fraction form
    5,760.66/8,596.04 = 5,140.10/x
  3. Step 3: Cross multiply
    5,760.66x = 8,596.04 × 5,140.10
  4. Step 4: Simplify right side
    5,760.66x = 44,184,505.20
  5. Step 5: Solve for x
    x = 44,184,505.20/5,760.66
  6. Step 6: Final answer
    x = 7,670.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.