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Finding the Fourth Proportional to 5,471, 7,549.98 and 3,114.50

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Solution

The fourth proportional to 5,471, 7,549.98 and 3,114.50 is: 4,298.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471 : 7,549.98 = 3,114.50 : x
  2. Step 2: Convert to fraction form
    5,471/7,549.98 = 3,114.50/x
  3. Step 3: Cross multiply
    5,471x = 7,549.98 × 3,114.50
  4. Step 4: Simplify right side
    5,471x = 23,514,412.71
  5. Step 5: Solve for x
    x = 23,514,412.71/5,471
  6. Step 6: Final answer
    x = 4,298.01

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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.