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Finding the Fourth Proportional to 3,773.16, 5,658.12 and 1,307.52

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Solution

The fourth proportional to 3,773.16, 5,658.12 and 1,307.52 is: 1,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.16 : 5,658.12 = 1,307.52 : x
  2. Step 2: Convert to fraction form
    3,773.16/5,658.12 = 1,307.52/x
  3. Step 3: Cross multiply
    3,773.16x = 5,658.12 × 1,307.52
  4. Step 4: Simplify right side
    3,773.16x = 7,398,105.06
  5. Step 5: Solve for x
    x = 7,398,105.06/3,773.16
  6. Step 6: Final answer
    x = 1,960.72

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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.