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Finding the Fourth Proportional to 4,801.10, 6,802.01 and 4,801.10

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Solution

The fourth proportional to 4,801.10, 6,802.01 and 4,801.10 is: 6,802.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.10 : 6,802.01 = 4,801.10 : x
  2. Step 2: Convert to fraction form
    4,801.10/6,802.01 = 4,801.10/x
  3. Step 3: Cross multiply
    4,801.10x = 6,802.01 × 4,801.10
  4. Step 4: Simplify right side
    4,801.10x = 32,657,130.21
  5. Step 5: Solve for x
    x = 32,657,130.21/4,801.10
  6. Step 6: Final answer
    x = 6,802.01

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.