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Finding the Fourth Proportional to 4,705.90, 6,488.84 and 3,852.50

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Solution

The fourth proportional to 4,705.90, 6,488.84 and 3,852.50 is: 5,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.90 : 6,488.84 = 3,852.50 : x
  2. Step 2: Convert to fraction form
    4,705.90/6,488.84 = 3,852.50/x
  3. Step 3: Cross multiply
    4,705.90x = 6,488.84 × 3,852.50
  4. Step 4: Simplify right side
    4,705.90x = 24,998,233.29
  5. Step 5: Solve for x
    x = 24,998,233.29/4,705.90
  6. Step 6: Final answer
    x = 5,312.11

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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.