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Finding the Fourth Proportional to 4,742.51, 6,543.10 and 3,064.90

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Solution

The fourth proportional to 4,742.51, 6,543.10 and 3,064.90 is: 4,228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.51 : 6,543.10 = 3,064.90 : x
  2. Step 2: Convert to fraction form
    4,742.51/6,543.10 = 3,064.90/x
  3. Step 3: Cross multiply
    4,742.51x = 6,543.10 × 3,064.90
  4. Step 4: Simplify right side
    4,742.51x = 20,053,947.19
  5. Step 5: Solve for x
    x = 20,053,947.19/4,742.51
  6. Step 6: Final answer
    x = 4,228.55

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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.