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Finding the Fourth Proportional to 5,368.68, 8,045.46 and 5,073

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Solution

The fourth proportional to 5,368.68, 8,045.46 and 5,073 is: 7,602.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.68 : 8,045.46 = 5,073 : x
  2. Step 2: Convert to fraction form
    5,368.68/8,045.46 = 5,073/x
  3. Step 3: Cross multiply
    5,368.68x = 8,045.46 × 5,073
  4. Step 4: Simplify right side
    5,368.68x = 40,814,618.58
  5. Step 5: Solve for x
    x = 40,814,618.58/5,368.68
  6. Step 6: Final answer
    x = 7,602.36

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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.