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Finding the Fourth Proportional to 5,710.57, 7,869.35 and 4,367.70

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Solution

The fourth proportional to 5,710.57, 7,869.35 and 4,367.70 is: 6,018.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.57 : 7,869.35 = 4,367.70 : x
  2. Step 2: Convert to fraction form
    5,710.57/7,869.35 = 4,367.70/x
  3. Step 3: Cross multiply
    5,710.57x = 7,869.35 × 4,367.70
  4. Step 4: Simplify right side
    5,710.57x = 34,370,970.91
  5. Step 5: Solve for x
    x = 34,370,970.91/5,710.57
  6. Step 6: Final answer
    x = 6,018.84

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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.