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Finding the Fourth Proportional to 4,608.40, 6,907.13 and 2,656.57

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Solution

The fourth proportional to 4,608.40, 6,907.13 and 2,656.57 is: 3,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.40 : 6,907.13 = 2,656.57 : x
  2. Step 2: Convert to fraction form
    4,608.40/6,907.13 = 2,656.57/x
  3. Step 3: Cross multiply
    4,608.40x = 6,907.13 × 2,656.57
  4. Step 4: Simplify right side
    4,608.40x = 18,349,274.34
  5. Step 5: Solve for x
    x = 18,349,274.34/4,608.40
  6. Step 6: Final answer
    x = 3,981.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.