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Finding the Fourth Proportional to 3,773.16, 5,653.95 and 1,580.67

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Solution

The fourth proportional to 3,773.16, 5,653.95 and 1,580.67 is: 2,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.16 : 5,653.95 = 1,580.67 : x
  2. Step 2: Convert to fraction form
    3,773.16/5,653.95 = 1,580.67/x
  3. Step 3: Cross multiply
    3,773.16x = 5,653.95 × 1,580.67
  4. Step 4: Simplify right side
    3,773.16x = 8,937,029.15
  5. Step 5: Solve for x
    x = 8,937,029.15/3,773.16
  6. Step 6: Final answer
    x = 2,368.58

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Why These Related Problems?

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