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Finding the Fourth Proportional to 4,802.76, 7,204.14 and 1,340.01

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Solution

The fourth proportional to 4,802.76, 7,204.14 and 1,340.01 is: 2,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.76 : 7,204.14 = 1,340.01 : x
  2. Step 2: Convert to fraction form
    4,802.76/7,204.14 = 1,340.01/x
  3. Step 3: Cross multiply
    4,802.76x = 7,204.14 × 1,340.01
  4. Step 4: Simplify right side
    4,802.76x = 9,653,619.64
  5. Step 5: Solve for x
    x = 9,653,619.64/4,802.76
  6. Step 6: Final answer
    x = 2,010.02

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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.