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Finding the Fourth Proportional to 4,875.09, 7,314.18 and 1,543.20

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Solution

The fourth proportional to 4,875.09, 7,314.18 and 1,543.20 is: 2,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.09 : 7,314.18 = 1,543.20 : x
  2. Step 2: Convert to fraction form
    4,875.09/7,314.18 = 1,543.20/x
  3. Step 3: Cross multiply
    4,875.09x = 7,314.18 × 1,543.20
  4. Step 4: Simplify right side
    4,875.09x = 11,287,242.58
  5. Step 5: Solve for x
    x = 11,287,242.58/4,875.09
  6. Step 6: Final answer
    x = 2,315.29

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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.