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Finding the Fourth Proportional to 4,322.50, 6,484.70 and 1,551.17

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Solution

The fourth proportional to 4,322.50, 6,484.70 and 1,551.17 is: 2,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.50 : 6,484.70 = 1,551.17 : x
  2. Step 2: Convert to fraction form
    4,322.50/6,484.70 = 1,551.17/x
  3. Step 3: Cross multiply
    4,322.50x = 6,484.70 × 1,551.17
  4. Step 4: Simplify right side
    4,322.50x = 10,058,892.19
  5. Step 5: Solve for x
    x = 10,058,892.19/4,322.50
  6. Step 6: Final answer
    x = 2,327.10

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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.