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Finding the Fourth Proportional to 4,723.61, 7,085.30 and 1,603.58

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Solution

The fourth proportional to 4,723.61, 7,085.30 and 1,603.58 is: 2,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.61 : 7,085.30 = 1,603.58 : x
  2. Step 2: Convert to fraction form
    4,723.61/7,085.30 = 1,603.58/x
  3. Step 3: Cross multiply
    4,723.61x = 7,085.30 × 1,603.58
  4. Step 4: Simplify right side
    4,723.61x = 11,361,801.93
  5. Step 5: Solve for x
    x = 11,361,801.93/4,723.61
  6. Step 6: Final answer
    x = 2,405.32

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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.