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Finding the Fourth Proportional to 4,329.76, 6,495.60 and 2,020

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Solution

The fourth proportional to 4,329.76, 6,495.60 and 2,020 is: 3,030.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329.76 : 6,495.60 = 2,020 : x
  2. Step 2: Convert to fraction form
    4,329.76/6,495.60 = 2,020/x
  3. Step 3: Cross multiply
    4,329.76x = 6,495.60 × 2,020
  4. Step 4: Simplify right side
    4,329.76x = 13,121,112
  5. Step 5: Solve for x
    x = 13,121,112/4,329.76
  6. Step 6: Final answer
    x = 3,030.45

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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.