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Finding the Fourth Proportional to 5,827.52, 8,034.98 and 4,761.34

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Solution

The fourth proportional to 5,827.52, 8,034.98 and 4,761.34 is: 6,564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.52 : 8,034.98 = 4,761.34 : x
  2. Step 2: Convert to fraction form
    5,827.52/8,034.98 = 4,761.34/x
  3. Step 3: Cross multiply
    5,827.52x = 8,034.98 × 4,761.34
  4. Step 4: Simplify right side
    5,827.52x = 38,257,271.67
  5. Step 5: Solve for x
    x = 38,257,271.67/5,827.52
  6. Step 6: Final answer
    x = 6,564.93

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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.