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Finding the Fourth Proportional to 4,726.86, 7,085.31 and 1,603.89

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Solution

The fourth proportional to 4,726.86, 7,085.31 and 1,603.89 is: 2,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.86 : 7,085.31 = 1,603.89 : x
  2. Step 2: Convert to fraction form
    4,726.86/7,085.31 = 1,603.89/x
  3. Step 3: Cross multiply
    4,726.86x = 7,085.31 × 1,603.89
  4. Step 4: Simplify right side
    4,726.86x = 11,364,057.86
  5. Step 5: Solve for x
    x = 11,364,057.86/4,726.86
  6. Step 6: Final answer
    x = 2,404.15

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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.