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Finding the Fourth Proportional to 4,669.45, 7,010.85 and 4,586.42

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Solution

The fourth proportional to 4,669.45, 7,010.85 and 4,586.42 is: 6,886.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.45 : 7,010.85 = 4,586.42 : x
  2. Step 2: Convert to fraction form
    4,669.45/7,010.85 = 4,586.42/x
  3. Step 3: Cross multiply
    4,669.45x = 7,010.85 × 4,586.42
  4. Step 4: Simplify right side
    4,669.45x = 32,154,737.38
  5. Step 5: Solve for x
    x = 32,154,737.38/4,669.45
  6. Step 6: Final answer
    x = 6,886.20

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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.