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Finding the Fourth Proportional to 5,099.40, 7,648.40 and 2,323.08

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Solution

The fourth proportional to 5,099.40, 7,648.40 and 2,323.08 is: 3,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.40 : 7,648.40 = 2,323.08 : x
  2. Step 2: Convert to fraction form
    5,099.40/7,648.40 = 2,323.08/x
  3. Step 3: Cross multiply
    5,099.40x = 7,648.40 × 2,323.08
  4. Step 4: Simplify right side
    5,099.40x = 17,767,845.07
  5. Step 5: Solve for x
    x = 17,767,845.07/5,099.40
  6. Step 6: Final answer
    x = 3,484.30

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1.5x scale

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.