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Finding the Fourth Proportional to 6,495.93, 8,958.50 and 4,257

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Solution

The fourth proportional to 6,495.93, 8,958.50 and 4,257 is: 5,870.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.93 : 8,958.50 = 4,257 : x
  2. Step 2: Convert to fraction form
    6,495.93/8,958.50 = 4,257/x
  3. Step 3: Cross multiply
    6,495.93x = 8,958.50 × 4,257
  4. Step 4: Simplify right side
    6,495.93x = 38,136,334.50
  5. Step 5: Solve for x
    x = 38,136,334.50/6,495.93
  6. Step 6: Final answer
    x = 5,870.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.