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Finding the Fourth Proportional to 4,726.81, 7,090.22 and 1,607.16

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Solution

The fourth proportional to 4,726.81, 7,090.22 and 1,607.16 is: 2,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.81 : 7,090.22 = 1,607.16 : x
  2. Step 2: Convert to fraction form
    4,726.81/7,090.22 = 1,607.16/x
  3. Step 3: Cross multiply
    4,726.81x = 7,090.22 × 1,607.16
  4. Step 4: Simplify right side
    4,726.81x = 11,395,117.98
  5. Step 5: Solve for x
    x = 11,395,117.98/4,726.81
  6. Step 6: Final answer
    x = 2,410.74

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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.