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Finding the Fourth Proportional to 4,322.49, 6,482.10 and 1,856.04

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Solution

The fourth proportional to 4,322.49, 6,482.10 and 1,856.04 is: 2,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.49 : 6,482.10 = 1,856.04 : x
  2. Step 2: Convert to fraction form
    4,322.49/6,482.10 = 1,856.04/x
  3. Step 3: Cross multiply
    4,322.49x = 6,482.10 × 1,856.04
  4. Step 4: Simplify right side
    4,322.49x = 12,031,036.88
  5. Step 5: Solve for x
    x = 12,031,036.88/4,322.49
  6. Step 6: Final answer
    x = 2,783.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.