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Finding the Fourth Proportional to 5,689.04, 7,852.36 and 3,705.04

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Solution

The fourth proportional to 5,689.04, 7,852.36 and 3,705.04 is: 5,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.04 : 7,852.36 = 3,705.04 : x
  2. Step 2: Convert to fraction form
    5,689.04/7,852.36 = 3,705.04/x
  3. Step 3: Cross multiply
    5,689.04x = 7,852.36 × 3,705.04
  4. Step 4: Simplify right side
    5,689.04x = 29,093,307.89
  5. Step 5: Solve for x
    x = 29,093,307.89/5,689.04
  6. Step 6: Final answer
    x = 5,113.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.