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Finding the Fourth Proportional to 5,684.99, 7,828.95 and 4,881.87

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Solution

The fourth proportional to 5,684.99, 7,828.95 and 4,881.87 is: 6,722.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.99 : 7,828.95 = 4,881.87 : x
  2. Step 2: Convert to fraction form
    5,684.99/7,828.95 = 4,881.87/x
  3. Step 3: Cross multiply
    5,684.99x = 7,828.95 × 4,881.87
  4. Step 4: Simplify right side
    5,684.99x = 38,219,934.44
  5. Step 5: Solve for x
    x = 38,219,934.44/5,684.99
  6. Step 6: Final answer
    x = 6,722.96

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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.