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Finding the Fourth Proportional to 5,849.31, 8,073.98 and 4,656.48

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Solution

The fourth proportional to 5,849.31, 8,073.98 and 4,656.48 is: 6,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.31 : 8,073.98 = 4,656.48 : x
  2. Step 2: Convert to fraction form
    5,849.31/8,073.98 = 4,656.48/x
  3. Step 3: Cross multiply
    5,849.31x = 8,073.98 × 4,656.48
  4. Step 4: Simplify right side
    5,849.31x = 37,596,303.11
  5. Step 5: Solve for x
    x = 37,596,303.11/5,849.31
  6. Step 6: Final answer
    x = 6,427.48

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1.5x scale

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.