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Finding the Fourth Proportional to 4,457.82, 6,686.65 and 1,536.06

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Solution

The fourth proportional to 4,457.82, 6,686.65 and 1,536.06 is: 2,304.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.82 : 6,686.65 = 1,536.06 : x
  2. Step 2: Convert to fraction form
    4,457.82/6,686.65 = 1,536.06/x
  3. Step 3: Cross multiply
    4,457.82x = 6,686.65 × 1,536.06
  4. Step 4: Simplify right side
    4,457.82x = 10,271,095.60
  5. Step 5: Solve for x
    x = 10,271,095.60/4,457.82
  6. Step 6: Final answer
    x = 2,304.06

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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.