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Finding the Fourth Proportional to 5,312.74, 7,970.34 and 1,802.56

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Solution

The fourth proportional to 5,312.74, 7,970.34 and 1,802.56 is: 2,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.74 : 7,970.34 = 1,802.56 : x
  2. Step 2: Convert to fraction form
    5,312.74/7,970.34 = 1,802.56/x
  3. Step 3: Cross multiply
    5,312.74x = 7,970.34 × 1,802.56
  4. Step 4: Simplify right side
    5,312.74x = 14,367,016.07
  5. Step 5: Solve for x
    x = 14,367,016.07/5,312.74
  6. Step 6: Final answer
    x = 2,704.26

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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.