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Finding the Fourth Proportional to 5,730.42, 7,903.59 and 4,935.14

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Solution

The fourth proportional to 5,730.42, 7,903.59 and 4,935.14 is: 6,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.42 : 7,903.59 = 4,935.14 : x
  2. Step 2: Convert to fraction form
    5,730.42/7,903.59 = 4,935.14/x
  3. Step 3: Cross multiply
    5,730.42x = 7,903.59 × 4,935.14
  4. Step 4: Simplify right side
    5,730.42x = 39,005,283.63
  5. Step 5: Solve for x
    x = 39,005,283.63/5,730.42
  6. Step 6: Final answer
    x = 6,806.71

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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.