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Finding the Fourth Proportional to 5,302.72, 7,970.04 and 4,384.16

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Solution

The fourth proportional to 5,302.72, 7,970.04 and 4,384.16 is: 6,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.72 : 7,970.04 = 4,384.16 : x
  2. Step 2: Convert to fraction form
    5,302.72/7,970.04 = 4,384.16/x
  3. Step 3: Cross multiply
    5,302.72x = 7,970.04 × 4,384.16
  4. Step 4: Simplify right side
    5,302.72x = 34,941,930.57
  5. Step 5: Solve for x
    x = 34,941,930.57/5,302.72
  6. Step 6: Final answer
    x = 6,589.44

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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.