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Finding the Fourth Proportional to 3,607.26, 5,407.66 and 1,417.51

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Solution

The fourth proportional to 3,607.26, 5,407.66 and 1,417.51 is: 2,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.26 : 5,407.66 = 1,417.51 : x
  2. Step 2: Convert to fraction form
    3,607.26/5,407.66 = 1,417.51/x
  3. Step 3: Cross multiply
    3,607.26x = 5,407.66 × 1,417.51
  4. Step 4: Simplify right side
    3,607.26x = 7,665,412.13
  5. Step 5: Solve for x
    x = 7,665,412.13/3,607.26
  6. Step 6: Final answer
    x = 2,125.00

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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.