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Finding the Fourth Proportional to 4,716, 6,509.70 and 2,853

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Solution

The fourth proportional to 4,716, 6,509.70 and 2,853 is: 3,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716 : 6,509.70 = 2,853 : x
  2. Step 2: Convert to fraction form
    4,716/6,509.70 = 2,853/x
  3. Step 3: Cross multiply
    4,716x = 6,509.70 × 2,853
  4. Step 4: Simplify right side
    4,716x = 18,572,174.10
  5. Step 5: Solve for x
    x = 18,572,174.10/4,716
  6. Step 6: Final answer
    x = 3,938.12

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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.