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Finding the Fourth Proportional to 5,006.48, 7,509.73 and 1,885.64

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Solution

The fourth proportional to 5,006.48, 7,509.73 and 1,885.64 is: 2,828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.48 : 7,509.73 = 1,885.64 : x
  2. Step 2: Convert to fraction form
    5,006.48/7,509.73 = 1,885.64/x
  3. Step 3: Cross multiply
    5,006.48x = 7,509.73 × 1,885.64
  4. Step 4: Simplify right side
    5,006.48x = 14,160,671.91
  5. Step 5: Solve for x
    x = 14,160,671.91/5,006.48
  6. Step 6: Final answer
    x = 2,828.47

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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.