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Finding the Fourth Proportional to 4,666.34, 6,999.53 and 1,334.58

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Solution

The fourth proportional to 4,666.34, 6,999.53 and 1,334.58 is: 2,001.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.34 : 6,999.53 = 1,334.58 : x
  2. Step 2: Convert to fraction form
    4,666.34/6,999.53 = 1,334.58/x
  3. Step 3: Cross multiply
    4,666.34x = 6,999.53 × 1,334.58
  4. Step 4: Simplify right side
    4,666.34x = 9,341,432.75
  5. Step 5: Solve for x
    x = 9,341,432.75/4,666.34
  6. Step 6: Final answer
    x = 2,001.88

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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.