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Finding the Fourth Proportional to 3,263.04, 4,893.12 and 954.72

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Solution

The fourth proportional to 3,263.04, 4,893.12 and 954.72 is: 1,431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.04 : 4,893.12 = 954.72 : x
  2. Step 2: Convert to fraction form
    3,263.04/4,893.12 = 954.72/x
  3. Step 3: Cross multiply
    3,263.04x = 4,893.12 × 954.72
  4. Step 4: Simplify right side
    3,263.04x = 4,671,559.53
  5. Step 5: Solve for x
    x = 4,671,559.53/3,263.04
  6. Step 6: Final answer
    x = 1,431.66

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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.