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Finding the Fourth Proportional to 5,700.59, 7,866.93 and 3,148.34

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Solution

The fourth proportional to 5,700.59, 7,866.93 and 3,148.34 is: 4,344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.59 : 7,866.93 = 3,148.34 : x
  2. Step 2: Convert to fraction form
    5,700.59/7,866.93 = 3,148.34/x
  3. Step 3: Cross multiply
    5,700.59x = 7,866.93 × 3,148.34
  4. Step 4: Simplify right side
    5,700.59x = 24,767,770.40
  5. Step 5: Solve for x
    x = 24,767,770.40/5,700.59
  6. Step 6: Final answer
    x = 4,344.77

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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.