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Finding the Fourth Proportional to 4,597.76, 6,348.60 and 2,830.34

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Solution

The fourth proportional to 4,597.76, 6,348.60 and 2,830.34 is: 3,908.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.76 : 6,348.60 = 2,830.34 : x
  2. Step 2: Convert to fraction form
    4,597.76/6,348.60 = 2,830.34/x
  3. Step 3: Cross multiply
    4,597.76x = 6,348.60 × 2,830.34
  4. Step 4: Simplify right side
    4,597.76x = 17,968,696.52
  5. Step 5: Solve for x
    x = 17,968,696.52/4,597.76
  6. Step 6: Final answer
    x = 3,908.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.