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Finding the Fourth Proportional to 4,748.61, 6,543.81 and 3,419.81

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Solution

The fourth proportional to 4,748.61, 6,543.81 and 3,419.81 is: 4,712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.61 : 6,543.81 = 3,419.81 : x
  2. Step 2: Convert to fraction form
    4,748.61/6,543.81 = 3,419.81/x
  3. Step 3: Cross multiply
    4,748.61x = 6,543.81 × 3,419.81
  4. Step 4: Simplify right side
    4,748.61x = 22,378,554.16
  5. Step 5: Solve for x
    x = 22,378,554.16/4,748.61
  6. Step 6: Final answer
    x = 4,712.65

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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.