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Finding the Fourth Proportional to 5,684.87, 7,852.86 and 4,810.07

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Solution

The fourth proportional to 5,684.87, 7,852.86 and 4,810.07 is: 6,644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.87 : 7,852.86 = 4,810.07 : x
  2. Step 2: Convert to fraction form
    5,684.87/7,852.86 = 4,810.07/x
  3. Step 3: Cross multiply
    5,684.87x = 7,852.86 × 4,810.07
  4. Step 4: Simplify right side
    5,684.87x = 37,772,767.04
  5. Step 5: Solve for x
    x = 37,772,767.04/5,684.87
  6. Step 6: Final answer
    x = 6,644.44

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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.