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Finding the Fourth Proportional to 5,950.16, 8,211.08 and 3,466

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Solution

The fourth proportional to 5,950.16, 8,211.08 and 3,466 is: 4,783.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,950.16 : 8,211.08 = 3,466 : x
  2. Step 2: Convert to fraction form
    5,950.16/8,211.08 = 3,466/x
  3. Step 3: Cross multiply
    5,950.16x = 8,211.08 × 3,466
  4. Step 4: Simplify right side
    5,950.16x = 28,459,603.28
  5. Step 5: Solve for x
    x = 28,459,603.28/5,950.16
  6. Step 6: Final answer
    x = 4,783.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.