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Finding the Fourth Proportional to 5,603.32, 8,403.66 and 1,706.80

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Solution

The fourth proportional to 5,603.32, 8,403.66 and 1,706.80 is: 2,559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.32 : 8,403.66 = 1,706.80 : x
  2. Step 2: Convert to fraction form
    5,603.32/8,403.66 = 1,706.80/x
  3. Step 3: Cross multiply
    5,603.32x = 8,403.66 × 1,706.80
  4. Step 4: Simplify right side
    5,603.32x = 14,343,366.89
  5. Step 5: Solve for x
    x = 14,343,366.89/5,603.32
  6. Step 6: Final answer
    x = 2,559.80

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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.