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Finding the Fourth Proportional to 3,656.46, 5,482.28 and 1,315.30

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Solution

The fourth proportional to 3,656.46, 5,482.28 and 1,315.30 is: 1,972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.46 : 5,482.28 = 1,315.30 : x
  2. Step 2: Convert to fraction form
    3,656.46/5,482.28 = 1,315.30/x
  3. Step 3: Cross multiply
    3,656.46x = 5,482.28 × 1,315.30
  4. Step 4: Simplify right side
    3,656.46x = 7,210,842.88
  5. Step 5: Solve for x
    x = 7,210,842.88/3,656.46
  6. Step 6: Final answer
    x = 1,972.08

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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.