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Finding the Fourth Proportional to 5,303.07, 7,946.10 and 3,843.05

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Solution

The fourth proportional to 5,303.07, 7,946.10 and 3,843.05 is: 5,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.07 : 7,946.10 = 3,843.05 : x
  2. Step 2: Convert to fraction form
    5,303.07/7,946.10 = 3,843.05/x
  3. Step 3: Cross multiply
    5,303.07x = 7,946.10 × 3,843.05
  4. Step 4: Simplify right side
    5,303.07x = 30,537,219.87
  5. Step 5: Solve for x
    x = 30,537,219.87/5,303.07
  6. Step 6: Final answer
    x = 5,758.40

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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.