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Finding the Fourth Proportional to 4,486.34, 6,732.20 and 1,566.69

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Solution

The fourth proportional to 4,486.34, 6,732.20 and 1,566.69 is: 2,350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.34 : 6,732.20 = 1,566.69 : x
  2. Step 2: Convert to fraction form
    4,486.34/6,732.20 = 1,566.69/x
  3. Step 3: Cross multiply
    4,486.34x = 6,732.20 × 1,566.69
  4. Step 4: Simplify right side
    4,486.34x = 10,547,274.33
  5. Step 5: Solve for x
    x = 10,547,274.33/4,486.34
  6. Step 6: Final answer
    x = 2,350.98

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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.