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Finding the Fourth Proportional to 3,534.60, 4,878.28 and 2,543.16

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Solution

The fourth proportional to 3,534.60, 4,878.28 and 2,543.16 is: 3,509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.60 : 4,878.28 = 2,543.16 : x
  2. Step 2: Convert to fraction form
    3,534.60/4,878.28 = 2,543.16/x
  3. Step 3: Cross multiply
    3,534.60x = 4,878.28 × 2,543.16
  4. Step 4: Simplify right side
    3,534.60x = 12,406,246.56
  5. Step 5: Solve for x
    x = 12,406,246.56/3,534.60
  6. Step 6: Final answer
    x = 3,509.94

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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.