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Finding the Fourth Proportional to 4,715.66, 6,505.71 and 2,849.42

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Solution

The fourth proportional to 4,715.66, 6,505.71 and 2,849.42 is: 3,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.66 : 6,505.71 = 2,849.42 : x
  2. Step 2: Convert to fraction form
    4,715.66/6,505.71 = 2,849.42/x
  3. Step 3: Cross multiply
    4,715.66x = 6,505.71 × 2,849.42
  4. Step 4: Simplify right side
    4,715.66x = 18,537,500.19
  5. Step 5: Solve for x
    x = 18,537,500.19/4,715.66
  6. Step 6: Final answer
    x = 3,931.05

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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.