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Finding the Fourth Proportional to 5,046, 7,575.08 and 3,641.46

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Solution

The fourth proportional to 5,046, 7,575.08 and 3,641.46 is: 5,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046 : 7,575.08 = 3,641.46 : x
  2. Step 2: Convert to fraction form
    5,046/7,575.08 = 3,641.46/x
  3. Step 3: Cross multiply
    5,046x = 7,575.08 × 3,641.46
  4. Step 4: Simplify right side
    5,046x = 27,584,332.61
  5. Step 5: Solve for x
    x = 27,584,332.61/5,046
  6. Step 6: Final answer
    x = 5,466.57

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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.