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Finding the Fourth Proportional to 3,713.25, 5,569.88 and 977.25

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Solution

The fourth proportional to 3,713.25, 5,569.88 and 977.25 is: 1,465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.25 : 5,569.88 = 977.25 : x
  2. Step 2: Convert to fraction form
    3,713.25/5,569.88 = 977.25/x
  3. Step 3: Cross multiply
    3,713.25x = 5,569.88 × 977.25
  4. Step 4: Simplify right side
    3,713.25x = 5,443,160.34
  5. Step 5: Solve for x
    x = 5,443,160.34/3,713.25
  6. Step 6: Final answer
    x = 1,465.88

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.