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Finding the Fourth Proportional to 5,090.58, 7,599.18 and 4,347

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Solution

The fourth proportional to 5,090.58, 7,599.18 and 4,347 is: 6,489.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.58 : 7,599.18 = 4,347 : x
  2. Step 2: Convert to fraction form
    5,090.58/7,599.18 = 4,347/x
  3. Step 3: Cross multiply
    5,090.58x = 7,599.18 × 4,347
  4. Step 4: Simplify right side
    5,090.58x = 33,033,635.46
  5. Step 5: Solve for x
    x = 33,033,635.46/5,090.58
  6. Step 6: Final answer
    x = 6,489.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.