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Finding the Fourth Proportional to 4,696.75, 7,046.16 and 1,410.10

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Solution

The fourth proportional to 4,696.75, 7,046.16 and 1,410.10 is: 2,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.75 : 7,046.16 = 1,410.10 : x
  2. Step 2: Convert to fraction form
    4,696.75/7,046.16 = 1,410.10/x
  3. Step 3: Cross multiply
    4,696.75x = 7,046.16 × 1,410.10
  4. Step 4: Simplify right side
    4,696.75x = 9,935,800.51
  5. Step 5: Solve for x
    x = 9,935,800.51/4,696.75
  6. Step 6: Final answer
    x = 2,115.46

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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.