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Finding the Fourth Proportional to 5,774.16, 7,966.87 and 3,535.22

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Solution

The fourth proportional to 5,774.16, 7,966.87 and 3,535.22 is: 4,877.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.16 : 7,966.87 = 3,535.22 : x
  2. Step 2: Convert to fraction form
    5,774.16/7,966.87 = 3,535.22/x
  3. Step 3: Cross multiply
    5,774.16x = 7,966.87 × 3,535.22
  4. Step 4: Simplify right side
    5,774.16x = 28,164,638.16
  5. Step 5: Solve for x
    x = 28,164,638.16/5,774.16
  6. Step 6: Final answer
    x = 4,877.70

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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.