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Finding the Fourth Proportional to 5,703.40, 8,554.45 and 1,543.16

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Solution

The fourth proportional to 5,703.40, 8,554.45 and 1,543.16 is: 2,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.40 : 8,554.45 = 1,543.16 : x
  2. Step 2: Convert to fraction form
    5,703.40/8,554.45 = 1,543.16/x
  3. Step 3: Cross multiply
    5,703.40x = 8,554.45 × 1,543.16
  4. Step 4: Simplify right side
    5,703.40x = 13,200,905.48
  5. Step 5: Solve for x
    x = 13,200,905.48/5,703.40
  6. Step 6: Final answer
    x = 2,314.57

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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.