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Finding the Fourth Proportional to 4,316, 6,475.08 and 1,849.60

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Solution

The fourth proportional to 4,316, 6,475.08 and 1,849.60 is: 2,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316 : 6,475.08 = 1,849.60 : x
  2. Step 2: Convert to fraction form
    4,316/6,475.08 = 1,849.60/x
  3. Step 3: Cross multiply
    4,316x = 6,475.08 × 1,849.60
  4. Step 4: Simplify right side
    4,316x = 11,976,307.97
  5. Step 5: Solve for x
    x = 11,976,307.97/4,316
  6. Step 6: Final answer
    x = 2,774.86

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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.