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Finding the Fourth Proportional to 5,098.53, 7,648.90 and 1,588.47

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Solution

The fourth proportional to 5,098.53, 7,648.90 and 1,588.47 is: 2,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.53 : 7,648.90 = 1,588.47 : x
  2. Step 2: Convert to fraction form
    5,098.53/7,648.90 = 1,588.47/x
  3. Step 3: Cross multiply
    5,098.53x = 7,648.90 × 1,588.47
  4. Step 4: Simplify right side
    5,098.53x = 12,150,048.18
  5. Step 5: Solve for x
    x = 12,150,048.18/5,098.53
  6. Step 6: Final answer
    x = 2,383.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.