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Finding the Fourth Proportional to 5,135.42, 7,700.04 and 2,497.72

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Solution

The fourth proportional to 5,135.42, 7,700.04 and 2,497.72 is: 3,745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.42 : 7,700.04 = 2,497.72 : x
  2. Step 2: Convert to fraction form
    5,135.42/7,700.04 = 2,497.72/x
  3. Step 3: Cross multiply
    5,135.42x = 7,700.04 × 2,497.72
  4. Step 4: Simplify right side
    5,135.42x = 19,232,543.91
  5. Step 5: Solve for x
    x = 19,232,543.91/5,135.42
  6. Step 6: Final answer
    x = 3,745.08

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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.