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Finding the Fourth Proportional to 4,294.56, 5,924.50 and 2,970.12

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Solution

The fourth proportional to 4,294.56, 5,924.50 and 2,970.12 is: 4,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.56 : 5,924.50 = 2,970.12 : x
  2. Step 2: Convert to fraction form
    4,294.56/5,924.50 = 2,970.12/x
  3. Step 3: Cross multiply
    4,294.56x = 5,924.50 × 2,970.12
  4. Step 4: Simplify right side
    4,294.56x = 17,596,475.94
  5. Step 5: Solve for x
    x = 17,596,475.94/4,294.56
  6. Step 6: Final answer
    x = 4,097.39

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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.