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Finding the Fourth Proportional to 3,726.51, 5,590.44 and 1,534.02

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Solution

The fourth proportional to 3,726.51, 5,590.44 and 1,534.02 is: 2,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.51 : 5,590.44 = 1,534.02 : x
  2. Step 2: Convert to fraction form
    3,726.51/5,590.44 = 1,534.02/x
  3. Step 3: Cross multiply
    3,726.51x = 5,590.44 × 1,534.02
  4. Step 4: Simplify right side
    3,726.51x = 8,575,846.77
  5. Step 5: Solve for x
    x = 8,575,846.77/3,726.51
  6. Step 6: Final answer
    x = 2,301.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.