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Finding the Fourth Proportional to 4,713.60, 6,501.60 and 3,037.14

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Solution

The fourth proportional to 4,713.60, 6,501.60 and 3,037.14 is: 4,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.60 : 6,501.60 = 3,037.14 : x
  2. Step 2: Convert to fraction form
    4,713.60/6,501.60 = 3,037.14/x
  3. Step 3: Cross multiply
    4,713.60x = 6,501.60 × 3,037.14
  4. Step 4: Simplify right side
    4,713.60x = 19,746,269.42
  5. Step 5: Solve for x
    x = 19,746,269.42/4,713.60
  6. Step 6: Final answer
    x = 4,189.21

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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.