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Finding the Fourth Proportional to 4,817.12, 7,184.98 and 4,671.28

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Solution

The fourth proportional to 4,817.12, 7,184.98 and 4,671.28 is: 6,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.12 : 7,184.98 = 4,671.28 : x
  2. Step 2: Convert to fraction form
    4,817.12/7,184.98 = 4,671.28/x
  3. Step 3: Cross multiply
    4,817.12x = 7,184.98 × 4,671.28
  4. Step 4: Simplify right side
    4,817.12x = 33,563,053.37
  5. Step 5: Solve for x
    x = 33,563,053.37/4,817.12
  6. Step 6: Final answer
    x = 6,967.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.