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Finding the Fourth Proportional to 5,341.99, 8,014.42 and 4,827.91

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Solution

The fourth proportional to 5,341.99, 8,014.42 and 4,827.91 is: 7,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341.99 : 8,014.42 = 4,827.91 : x
  2. Step 2: Convert to fraction form
    5,341.99/8,014.42 = 4,827.91/x
  3. Step 3: Cross multiply
    5,341.99x = 8,014.42 × 4,827.91
  4. Step 4: Simplify right side
    5,341.99x = 38,692,898.46
  5. Step 5: Solve for x
    x = 38,692,898.46/5,341.99
  6. Step 6: Final answer
    x = 7,243.16

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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.