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Finding the Fourth Proportional to 5,706.76, 7,875.09 and 3,583.39

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Solution

The fourth proportional to 5,706.76, 7,875.09 and 3,583.39 is: 4,944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.76 : 7,875.09 = 3,583.39 : x
  2. Step 2: Convert to fraction form
    5,706.76/7,875.09 = 3,583.39/x
  3. Step 3: Cross multiply
    5,706.76x = 7,875.09 × 3,583.39
  4. Step 4: Simplify right side
    5,706.76x = 28,219,518.76
  5. Step 5: Solve for x
    x = 28,219,518.76/5,706.76
  6. Step 6: Final answer
    x = 4,944.93

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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.