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Finding the Fourth Proportional to 5,141.34, 7,095 and 2,783.46

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Solution

The fourth proportional to 5,141.34, 7,095 and 2,783.46 is: 3,841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.34 : 7,095 = 2,783.46 : x
  2. Step 2: Convert to fraction form
    5,141.34/7,095 = 2,783.46/x
  3. Step 3: Cross multiply
    5,141.34x = 7,095 × 2,783.46
  4. Step 4: Simplify right side
    5,141.34x = 19,748,648.70
  5. Step 5: Solve for x
    x = 19,748,648.70/5,141.34
  6. Step 6: Final answer
    x = 3,841.15

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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.