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Finding the Fourth Proportional to 5,312.94, 7,970.49 and 1,852.62

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Solution

The fourth proportional to 5,312.94, 7,970.49 and 1,852.62 is: 2,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.94 : 7,970.49 = 1,852.62 : x
  2. Step 2: Convert to fraction form
    5,312.94/7,970.49 = 1,852.62/x
  3. Step 3: Cross multiply
    5,312.94x = 7,970.49 × 1,852.62
  4. Step 4: Simplify right side
    5,312.94x = 14,766,289.18
  5. Step 5: Solve for x
    x = 14,766,289.18/5,312.94
  6. Step 6: Final answer
    x = 2,779.31

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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.