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Finding the Fourth Proportional to 3,435.36, 5,152.20 and 970.40

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Solution

The fourth proportional to 3,435.36, 5,152.20 and 970.40 is: 1,455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.36 : 5,152.20 = 970.40 : x
  2. Step 2: Convert to fraction form
    3,435.36/5,152.20 = 970.40/x
  3. Step 3: Cross multiply
    3,435.36x = 5,152.20 × 970.40
  4. Step 4: Simplify right side
    3,435.36x = 4,999,694.88
  5. Step 5: Solve for x
    x = 4,999,694.88/3,435.36
  6. Step 6: Final answer
    x = 1,455.36

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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.