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Finding the Fourth Proportional to 5,252.34, 7,248.34 and 2,894.50

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Solution

The fourth proportional to 5,252.34, 7,248.34 and 2,894.50 is: 3,994.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.34 : 7,248.34 = 2,894.50 : x
  2. Step 2: Convert to fraction form
    5,252.34/7,248.34 = 2,894.50/x
  3. Step 3: Cross multiply
    5,252.34x = 7,248.34 × 2,894.50
  4. Step 4: Simplify right side
    5,252.34x = 20,980,320.13
  5. Step 5: Solve for x
    x = 20,980,320.13/5,252.34
  6. Step 6: Final answer
    x = 3,994.47

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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.